* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (* (* i (+ i alpha)) (+ (pow i 2) (* i alpha))) into (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (* (* i (+ i beta)) (+ (pow i 2) (* i beta))) into (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (* 0 (* beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (* 0 (+ beta alpha)) (* (+ beta alpha) (* beta alpha))) into (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (* 0 (* beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (* 0 (+ beta alpha)) (* (+ beta alpha) (* beta alpha))) into (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) * [misc]taylor: Taking taylor expansion of (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 2)) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* (+ beta alpha) (+ beta alpha)) (* 1 (* beta alpha)))) into (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 2)) into 1 * [misc]taylor: Taking taylor expansion of (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ beta (pow beta 2)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 4)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 4)) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (+ beta alpha) 1) (+ (* 1 (+ beta alpha)) (* 0 (* beta alpha))))) into (+ (* 2 beta) (* 2 alpha)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (- (/ (+ (* 2 beta) (* 2 alpha)) (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ 4 (pow (+ beta alpha) 2))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 6)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 6)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (pow (+ beta alpha) 2))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ beta (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ beta (pow beta 2)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 6)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ beta (pow beta 6)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (* 2 (/ alpha (pow (+ beta alpha) 2))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ alpha (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 4)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4)))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 4)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]backup-simplify: Simplify (* 2 (/ 1 beta)) into (/ 2 beta) * [misc]backup-simplify: Simplify (+ (/ 2 beta) 0) into (* 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 beta))) into (* 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 beta))) into (* 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (* 4 (/ 1 beta)) into (/ 4 beta) * [misc]backup-simplify: Simplify (+ (/ 4 beta) 0) into (* 4 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 beta))) into (- (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 beta)) (- (* 4 (/ 1 beta)))) into (- (* 2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 2)) (+ (* 1 (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (* 3 (/ 1 beta)) into (/ 3 beta) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 beta))) (/ 3 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 4 (/ 1 beta)) into (/ 4 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 4 beta)) into (* 4 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 beta))) into (* 4 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 beta))) into (- (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (- (* 4 (/ 1 beta)))) into (- (* 3 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (/ beta (pow beta 2)) (+ (* 1 (/ (* 2 beta) (pow beta 2))))) into (- (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (- (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (+ beta alpha) 0) (+ (* 1 1) (+ (* 0 (+ beta alpha)) (* 0 (* beta alpha)))))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ 0 (pow (+ beta alpha) 2))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) (/ 4 (pow (+ beta alpha) 2))) (* (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ beta (pow beta 6)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 6)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ 1 (pow beta 6)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6))))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 6)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 6)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 4) 1) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 8)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 8)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 28 in alpha * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) in alpha * [misc]taylor: Taking taylor expansion of 384 in alpha * [misc]backup-simplify: Simplify 384 into 384 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 8)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (/ beta (pow beta 8)) into (/ 1 (pow beta 7)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4)))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* 0 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (/ (pow beta 5) (pow beta 8)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 4)) into (/ 1 (pow beta 2)) * [misc]backup-simplify: Simplify (* 16 (/ 1 (pow beta 2))) into (/ 16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (/ 16 (pow beta 2)) 0) into (* 16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow beta 2)) (* 16 (/ 1 (pow beta 2)))) into (* 17 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 17 (/ 1 (pow beta 2)))) into (* 17 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 17 (/ 1 (pow beta 2)))) into (* 17 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 17 (/ 1 (pow beta 2)))) into (* 17 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (* 12 (/ 1 (pow beta 2))) into (/ 12 (pow beta 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 12 (pow beta 2))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (pow beta 2)))) into (* 12 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 12 (/ 1 (pow beta 2)))) into (- (* 12 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 17 (/ 1 (pow beta 2))) (- (* 12 (/ 1 (pow beta 2))))) into (* 5 (/ 1 (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* alpha i))) (* 1 (pow (* 1 (* 1 i)) 2))) into (+ (* i alpha) (pow i 2)) * [misc]approximate: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 beta) (/ 1 i))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 beta)) into (/ 1/4 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 beta)) into (* 1/4 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4) (+ (* 1/4 (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (pow beta 2)))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/16 (/ 1 (pow beta 2))))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/16 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (pow (* 1 (* 1 (/ 1 (/ 1 i)))) 2)) into (* 1/4 (pow i 2)) * [misc]approximate: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 beta) (/ 1 i))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 beta)) into (/ 1/4 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 beta)) into (* 1/4 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4) (+ (* 1/4 (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (pow beta 2)))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/16 (/ 1 (pow beta 2))))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/16 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (pow (* 1 (* 1 (/ 1 (/ 1 (- i))))) 2)) into (* 1/4 (pow i 2)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (* (* i (+ i alpha)) (+ (pow i 2) (* i alpha))) into (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) alpha) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0)) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (* (pow (+ (* 2 i) alpha) 2) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (* (* i (+ i beta)) (+ (pow i 2) (* i beta))) into (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) beta) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0)) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (* (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) (pow (+ (* 2 i) beta) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (* 0 (* beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (* 0 (+ beta alpha)) (* (+ beta alpha) (* beta alpha))) into (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) in i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (* 0 (* beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (* 0 (+ beta alpha)) (* (+ beta alpha) (* beta alpha))) into (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* (+ beta alpha) (+ beta alpha)) (* 1 (* beta alpha)))) into (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (- (pow beta 2) 1.0))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (+ beta alpha) 1) (+ (* 1 (+ beta alpha)) (* 0 (* beta alpha))))) into (+ (* 2 beta) (* 2 alpha)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (- (/ (+ (* 2 beta) (* 2 alpha)) (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ 4 (pow (+ beta alpha) 2))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ 4 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 48 in alpha * [misc]backup-simplify: Simplify 48 into 48 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 20 in alpha * [misc]backup-simplify: Simplify 20 into 20 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) 0) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 4 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (/ 4 (* (- (pow beta 2) 1.0) beta)) 0) into (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) * [misc]backup-simplify: Simplify (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 3 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) 0) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (+ (/ 3 (* (- (pow beta 2) 1.0) beta)) (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))))) into (- (+ (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 4 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (/ 4 (* (- (pow beta 2) 1.0) beta)) 0) into (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 4 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]taylor: Taking taylor expansion of (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta * [misc]taylor: Taking taylor expansion of (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 8 in beta * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]taylor: Taking taylor expansion of (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (+ beta alpha) 0) (+ (* 1 1) (+ (* 0 (+ beta alpha)) (* 0 (* beta alpha)))))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (pow (+ beta alpha) 2)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (pow (+ beta alpha) 2)) (/ 0 (pow (+ beta alpha) 2))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (+ (/ (pow beta 2) (pow (+ beta alpha) 2)) (* 3 (/ (* beta alpha) (pow (+ beta alpha) 2))))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 4 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 4))) (* 4 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 4)))))) (/ 4 (pow (+ beta alpha) 2))) (* (- (+ (* 16 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 6))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 2 (/ beta (pow (+ beta alpha) 2))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 6))) (* 2 (/ alpha (pow (+ beta alpha) 2)))))))) (+ (* 4 (/ (pow beta 3) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4))) (+ (* 20 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4))) (* 4 (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) (/ (+ (* 4 beta) (* 4 alpha)) (pow (+ beta alpha) 2))))) into (- (+ (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 112 (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 16 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (/ 1 (pow (+ beta alpha) 2)) (+ (* 16 (/ (pow beta 4) (pow (+ beta alpha) 6))) (* 112 (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)))))))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (pow (+ beta alpha) 8))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (pow (+ beta alpha) 8))) (+ (* 12 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 28 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* beta (pow alpha 5)) (pow (+ beta alpha) 8))) (+ (* 64 (/ (* (pow beta 5) alpha) (pow (+ beta alpha) 8))) (* 12 (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ 0 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (* 3 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 4 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) (/ 4 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 48 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 2 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 48 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 20 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 20 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 112 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 112 in alpha * [misc]backup-simplify: Simplify 112 into 112 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 8) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 7))) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 8) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* 0 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 384 in alpha * [misc]backup-simplify: Simplify 384 into 384 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* 0 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 6) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* 0 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 8) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 384 in alpha * [misc]backup-simplify: Simplify 384 into 384 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 4) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 384 in alpha * [misc]backup-simplify: Simplify 384 into 384 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 8) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 28 in alpha * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 6) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 4) 1) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4))) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 28 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 28 in alpha * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 6) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 4) 1) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 384 (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 384 in alpha * [misc]backup-simplify: Simplify 384 into 384 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 3)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 6) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 4)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 5) alpha) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* 0 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 5)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 4) 1) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 6) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 256 (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 256 in alpha * [misc]backup-simplify: Simplify 256 into 256 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) (pow alpha 2)) (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 8) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 8) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 4) 1) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow beta 4)) into (pow beta 8) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 8) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]backup-simplify: Simplify (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) * [misc]backup-simplify: Simplify (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 16 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 16 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (+ (/ 16 (pow (- (pow beta 2) 1.0) 2)) (/ 16 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) into (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 12 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 12 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (+ (/ 12 (* (- (pow beta 2) 1.0) (pow beta 2))) 0) into (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (/ 12 (pow (- (pow beta 2) 1.0) 2)) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) * [misc]backup-simplify: Simplify (- (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))))) * [misc]backup-simplify: Simplify (+ (+ (* 16 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 17 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (- (+ (* 12 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 12 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))) into (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 5 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 5 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) 1) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta * [misc]taylor: Taking taylor expansion of 16 in beta * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]backup-simplify: Simplify (* 4 1.0) into 4.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0) * [misc]backup-simplify: Simplify (+ (* 5 (- 1.0)) (+ (* 0 0) (* 0 -1.0))) into (- 5.0) * [misc]backup-simplify: Simplify (+ (- 5.0) 0) into (- 5.0) * [misc]backup-simplify: Simplify (+ 4.0 (- 5.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (* (- 1.0) (pow (* 1 (* 1 i)) 4)) (+ (* -1.0 (* 1 (* alpha i))) (* -1.0 (pow (* 1 (* 1 i)) 2)))) into (- (+ (* 1.0 (* i alpha)) (+ (* 1.0 (pow i 4)) (* 1.0 (pow i 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 beta) (/ 1 i))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4) (+ (* 1/4 (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (* (/ 1 i) (+ (/ 1 beta) (/ 1 i))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) 4) (+ (* 1/4 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4) (+ (* 1/4 (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (* 0 (* beta alpha)) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (* 0 (+ beta alpha)) (* (+ beta alpha) (* beta alpha))) into (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) * [misc]taylor: Taking taylor expansion of (+ (* (pow beta 2) alpha) (* beta (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (+ (* (+ beta alpha) (+ beta alpha)) (* 1 (* beta alpha)))) into (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (+ (pow beta 2) (* 3 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (* 3 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 3 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 3 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (+ 0 (pow beta 2)) into (pow beta 2) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) 0) (* 0 (/ 1 alpha))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ 1 (* beta alpha))) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)))) into (+ (/ 1 (* (pow beta 2) alpha)) (/ 1 (* beta (pow alpha 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow beta 2) alpha)) (/ 1 (* beta (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow beta 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* beta (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 beta)) into (/ 3 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 3 beta) 0) into (* 3 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 beta))) into (* 3 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 beta)) into (/ 2 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 2 beta)) into (* 2 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 (/ 1 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) 0) (+ (* 0 (/ 1 (* beta alpha))) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 beta)) (* (pow (/ 1 alpha) -2) (/ 1 (/ 1 i))))) (+ (* 1 (pow (* (/ 1 (/ 1 beta)) (* 1 (/ 1 (/ 1 i)))) 2)) (* 1 (* (pow (/ 1 beta) -2) (* (/ 1 (/ 1 alpha)) (/ 1 (/ 1 i))))))) into (+ (* (pow i 2) (pow beta 2)) (+ (* i (* beta (pow alpha 2))) (* i (* (pow beta 2) alpha)))) * [misc]approximate: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 1)) into (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (* beta alpha))) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 beta) 0) (* 0 (/ -1 alpha))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (/ 1 (* beta alpha))) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)))) into (+ (/ 1 (* (pow beta 2) alpha)) (/ 1 (* beta (pow alpha 2)))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow beta 2) alpha)) (/ 1 (* beta (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow beta 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* beta (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 3 (/ 1 beta)) into (/ 3 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 3 beta) 0) into (* 3 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (* 3 (/ 1 beta))) into (* 3 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 beta)) into (/ 2 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 2 beta)) into (* 2 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 (/ -1 alpha)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))) (* 0 (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) 0) (+ (* 0 (/ 1 (* beta alpha))) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow beta 2)) 0) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* (/ 1 (/ 1 (- beta))) (* (pow (/ 1 (- alpha)) -2) (/ 1 (/ 1 (- i)))))) (+ (* 1 (pow (* (/ 1 (/ 1 (- beta))) (* 1 (/ 1 (/ 1 (- i))))) 2)) (* 1 (* (pow (/ 1 (- beta)) -2) (* (/ 1 (/ 1 (- alpha))) (/ 1 (/ 1 (- i)))))))) into (+ (* (pow i 2) (pow beta 2)) (+ (* i (* beta (pow alpha 2))) (* i (* (pow beta 2) alpha)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* 2 i) beta) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 i) beta) in beta * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ (* 2 i) 0) into (* 2 i) * [misc]backup-simplify: Simplify (* (* 2 i) (* 2 i)) into (* 4 (pow i 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 1) (* 1 (+ (* 2 i) beta))) into (+ (* 4 i) (* 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 i) (* 2 beta)) in beta * [misc]taylor: Taking taylor expansion of (* 4 i) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* 2 beta) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 i) into (* 4 i) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 i) 0) into (* 4 i) * [misc]taylor: Taking taylor expansion of (* 4 i) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 1) (* 1 (* 2 i))) into (* 4 i) * [misc]taylor: Taking taylor expansion of (* 4 i) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2 i) beta)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 0) (+ (* 1 1) (* 0 (* 2 i)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (* beta 1)) 2)) (+ (* 2 (* 1 (* beta alpha))) (* 1 (pow (* 1 (* 1 alpha)) 2)))) into (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) * [misc]approximate: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* (+ (/ 1 beta) (* 2 (/ 1 i))) 1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i beta))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) 0) (+ (* 0 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 i))) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ 0 (/ 4 i)) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow i 2))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* (/ 1 (/ 1 i)) (* 1 (/ 1 (/ 1 alpha))))) (+ (* 4 (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 beta)) 1))) (* 4 (pow (* (/ 1 (/ 1 i)) (* 1 1)) 2)))) into (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * [misc]approximate: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) -1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i beta))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) 0) (+ (* 0 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 i))) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ 0 (/ 4 i)) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow i 2))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (/ 1 (- alpha)))))) (+ (* 4 (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- beta))) 1))) (* 4 (pow (* (/ 1 (/ 1 (- i))) (* 1 1)) 2)))) into (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (* i (+ (+ alpha beta) i))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (- (log (* (+ i beta) (+ alpha i))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (* (+ (+ alpha i) beta) i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (- (log (* (+ i beta) (+ alpha i))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (* (+ (+ alpha i) beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 3 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (* i (+ (+ alpha beta) i))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (+ (- (log (+ (* beta (+ alpha i)) (* i (+ alpha i)))) (log (+ (+ alpha beta) (* 2 i)))) (- (log (* (+ (+ i beta) alpha) i)) (log (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (+ (- (log (+ (* beta (+ alpha i)) (* i (+ alpha i)))) (log (+ (+ alpha beta) (* 2 i)))) (- (log (* (+ (+ i beta) alpha) i)) (log (+ (+ alpha beta) (* 2 i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 4 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i)))) (+ (log (+ (+ alpha beta) (* i 2))) (log (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i)))) (+ (log (+ (+ alpha beta) (* i 2))) (log (+ (+ alpha beta) (* i 2)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 5 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (210 enodes) * [exit]simplify: Simplified to (- (log (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (* (+ (+ alpha beta) i) i))) (log (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (- (log (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (* (+ (+ alpha beta) i) i))) (log (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 6 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * [exit]simplify: Simplified to (* (/ (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (* (+ (+ alpha beta) i) i))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (* (/ (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (* (+ (+ alpha beta) i) i))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 9 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * [exit]simplify: Simplified to (* (/ (pow (* (+ (+ alpha beta) i) i) 3) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (* (/ (pow (* (+ (+ alpha beta) i) i) 3) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 10 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * [exit]simplify: Simplified to (/ (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i))) (/ (* (pow (+ (+ alpha beta) (* 2 i)) 3) (pow (+ (+ alpha beta) (* 2 i)) 3)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (/ (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i))) (/ (* (pow (+ (+ alpha beta) (* 2 i)) 3) (pow (+ (+ alpha beta) (* 2 i)) 3)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ i beta) alpha) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 11 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * [exit]simplify: Simplified to (/ (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i))) (/ (* (pow (+ (+ alpha beta) (* 2 i)) 3) (pow (+ (+ alpha beta) (* 2 i)) 3)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (/ (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i))) (/ (* (pow (+ (+ alpha beta) (* 2 i)) 3) (pow (+ (+ alpha beta) (* 2 i)) 3)) (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 12 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (+ (+ i beta) alpha) (/ i (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (* (+ (+ i beta) alpha) (/ i (+ (+ alpha beta) (* i 2)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (+ alpha i) (+ i beta)) (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ alpha i) (+ i beta)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 17 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (+ alpha beta) (* 2 i))) (+ (* 2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 21 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* i (+ (+ alpha beta) i)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (* (+ (+ alpha beta) i) i) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (+ (+ alpha beta) i) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 22 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 23 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 24 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 25 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 26 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 27 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (* -2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (+ (* -2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 28 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 29 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (* -2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (+ (* -2 i) (+ beta alpha))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 30 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 31 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (- (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 32 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* i (* beta alpha)) (* (* beta alpha) (* beta alpha))) (* (- (+ alpha beta) i) (+ (+ alpha beta) i))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (* (- (+ alpha beta) i) (+ (+ alpha beta) i)) (* (* i i) (+ (+ alpha beta) i))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (+ (* (* (* i (* beta alpha)) (* (* beta alpha) (* beta alpha))) (* (- (+ alpha beta) i) (+ (+ alpha beta) i))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (* (- (+ alpha beta) i) (+ (+ alpha beta) i)) (* (* i i) (+ (+ alpha beta) i))))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (- (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 33 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (- (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 34 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (+ (pow (* (+ (+ i beta) alpha) i) 4) (* (* (* (* beta alpha) (* beta alpha)) (* (* beta alpha) i)) (+ (+ i beta) alpha))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (+ (pow (* (+ (+ i beta) alpha) i) 4) (* (* (* (* beta alpha) (* beta alpha)) (* (* beta alpha) i)) (+ (+ i beta) alpha))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 35 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (- (- (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (+ (+ i beta) alpha) i)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (- (- (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (+ (+ i beta) alpha) i)) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 36 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 37 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i)))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (+ alpha beta) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 38 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (* i (+ (+ alpha beta) i))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (+ (log (* (+ (+ alpha beta) i) i)) (- (- (log (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (+ (log (* (+ (+ alpha beta) i) i)) (- (- (log (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))))) * * * * [misc]progress: [ 40 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log (* i (+ (+ alpha beta) i))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (- (+ (log (* (+ (+ alpha i) beta) i)) (log (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (+ (log (* (+ (+ alpha i) beta) i)) (log (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 41 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (- (log (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (* (+ (+ alpha i) beta) i))) (+ (+ (log (+ (+ alpha beta) (* i 2))) (log (+ (+ alpha beta) (* i 2)))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (log (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (* (+ (+ alpha i) beta) i))) (+ (+ (log (+ (+ alpha beta) (* i 2))) (log (+ (+ alpha beta) (* i 2)))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 42 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i)))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (log (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i)))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (log (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 43 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (- (log (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (log (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (log (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (log (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 44 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i)) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (* (+ (+ i beta) alpha) i))) (* (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (/ (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i)) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (* (+ (+ i beta) alpha) i))) (* (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (pow (+ (* 2 i) (+ alpha beta)) 3) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 47 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* (+ (+ i beta) alpha) i) 3) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (/ (pow (* (+ (+ i beta) alpha) i) 3) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))))) * * * * [misc]progress: [ 48 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (pow (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) 3) (* (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (* (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (pow (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) 3) (* (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))))))) * * * * [misc]progress: [ 49 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (pow (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) 3) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (* (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (pow (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) 3) (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ beta (+ alpha i)) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 50 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (pow (* (/ (+ (* (+ (+ alpha beta) i) (* i i)) (* (* i alpha) beta)) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (/ (+ (+ alpha beta) i) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (pow (* (/ (+ (* (+ (+ alpha beta) i) (* i i)) (* (* i alpha) beta)) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (/ (+ (+ alpha beta) i) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) 3))) * * * * [misc]progress: [ 51 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 56 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i)))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i)))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))))) (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 57 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))))) (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha i) beta))) (/ i (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) 1) (/ (cbrt (* (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha i) beta))) (/ i (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * * * * [misc]progress: [ 58 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (+ (* (* i i) (+ (+ alpha beta) i)) (* (* i beta) alpha)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 59 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 60 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha i) beta))) (/ i (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) 1) (/ (sqrt (* (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha i) beta))) (/ i (+ (* 2 i) (+ alpha beta))))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * * * * [misc]progress: [ 61 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (* (/ (/ i (+ (+ alpha beta) (* i 2))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (+ (+ alpha i) beta) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (+ (+ alpha beta) (* i 2))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (+ (+ alpha i) beta) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 62 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (* i (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 63 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (/ (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 64 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ 1 (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* i beta) alpha) (* (* i i) (+ (+ alpha beta) i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ 1 (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (* (* i beta) alpha) (* (* i i) (+ (+ alpha beta) i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 65 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (265 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (* i beta) alpha) (* (* i i) (+ (+ alpha beta) i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (* (* i beta) alpha) (* (* i i) (+ (+ alpha beta) i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) i))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))))) * * * * [misc]progress: [ 66 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* 1 (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* 1 (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))))) * * * * [misc]progress: [ 67 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (* (+ (+ alpha i) beta) i)) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (* (+ (+ alpha i) beta) i)) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 68 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 69 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * [exit]simplify: Simplified to (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) 1) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 70 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (363 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 71 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (228 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 72 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (/ (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (/ (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))))))) * * * * [misc]progress: [ 73 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (94 enodes) * * [misc]simplify: iters left: 4 (408 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4)))))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 74 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (393 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 75 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (333 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* (* i -4) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (+ alpha beta) (+ alpha beta)) (* (* i -4) i)))) (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)) (+ (+ beta alpha) (* -2 i))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) 1) (* (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)) (+ (+ beta alpha) (* -2 i))))) * * * * [misc]progress: [ 76 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (100 enodes) * * [misc]simplify: iters left: 4 (469 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (* (- (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (* (- (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* i -2) (+ beta alpha))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* i -2) (+ beta alpha))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 77 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (97 enodes) * * [misc]simplify: iters left: 4 (454 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (271 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* i -2) (+ beta alpha))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* i -2) (+ beta alpha))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 78 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (394 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (* (- (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (* (- (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* -2 i)) (/ (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) (/ (+ (+ beta alpha) (* -2 i)) (/ (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))))))) * * * * [misc]progress: [ 79 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (354 enodes) * [exit]simplify: Simplified to (/ (* i (* (/ (+ (+ alpha i) beta) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (* (/ (+ (+ alpha i) beta) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ beta alpha) (* i -2)) (+ (+ beta alpha) (* i -2))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (* (/ (+ (+ alpha i) beta) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (* (+ (+ beta alpha) (* i -2)) (+ (+ beta alpha) (* i -2))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 80 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (339 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ beta alpha) (* i -2)) (+ (+ beta alpha) (* i -2))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ (+ beta alpha) (* i -2)) (+ (+ beta alpha) (* i -2))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 81 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ beta alpha) (* -2 i)) (+ (+ beta alpha) (* -2 i))) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (/ (* (+ (+ beta alpha) (* -2 i)) (+ (+ beta alpha) (* -2 i))) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 82 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (402 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 83 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (387 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 84 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (335 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) 1) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 85 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (362 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) (* -2 i)))) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ alpha beta) (* -2 i)))) (* (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)))) (/ (- (+ alpha beta) (* 2 i)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ (+ beta alpha) (* i -2)) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 86 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (347 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* i -2)) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* i -2)) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (- (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ beta alpha) (* i -2)) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 87 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (* (/ i (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha beta) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (/ (+ (* 2 i) (+ alpha beta)) (+ (+ alpha beta) i)))) (/ (- (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) 1) (/ (+ (+ beta alpha) (* i -2)) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 88 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (cbrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 89 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (377 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (sqrt (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 90 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) 1) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (* 2 i) (+ beta alpha)) (* 2 i))) (- (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 91 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (416 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* -2 i) (+ alpha beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* -2 i) (+ alpha beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (- (+ alpha beta) (* 2 i)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ (+ beta alpha) (* i -2)) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 92 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (401 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* -2 i) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* -2 i) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (- (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (447 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ beta alpha) (* i -2)) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 93 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (348 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i -2) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i -2) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (/ (- (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (449 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (* i -2)) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1) (/ (+ (+ beta alpha) (* i -2)) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 94 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 98 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 99 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) 1) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 100 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (* (+ (+ i beta) alpha) (* i i)) (* (* i alpha) beta)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ i beta) alpha)))) (cbrt (/ (+ (* (+ (+ i beta) alpha) (* i i)) (* (* i alpha) beta)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ i beta) alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (cbrt (/ (+ (* (+ (+ i beta) alpha) (* i i)) (* (* i alpha) beta)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ i beta) alpha)))) (cbrt (/ (+ (* (+ (+ i beta) alpha) (* i i)) (* (* i alpha) beta)) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ (+ i beta) alpha))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (cbrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 101 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta (* i alpha)) (* (+ alpha (+ i beta)) (* i i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ alpha (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (sqrt (/ (+ (* beta (* i alpha)) (* (+ alpha (+ i beta)) (* i i))) (/ (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) (+ alpha (+ i beta))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (sqrt (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 102 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (+ (+ i beta) alpha) (/ i (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ (+ i beta) alpha) (/ i (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)))))) * * * * [misc]progress: [ 103 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ 1 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))))) * * * * [misc]progress: [ 105 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 106 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (* (/ (* (+ alpha (+ i beta)) i) (+ (* (+ alpha beta) (+ alpha beta)) (* (* i -4) i))) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (/ (* (+ alpha (+ i beta)) i) (+ (* (+ alpha beta) (+ alpha beta)) (* (* i -4) i))) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i)))))) * * * * [misc]progress: [ 107 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (351 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))) (+ (* i (* i -4)) (* (+ alpha beta) (+ alpha beta))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))))) * * * * [misc]progress: [ 108 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))) (+ (* (+ alpha beta) (+ alpha beta)) (* i (* i -4))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i)))))) * * * * [misc]progress: [ 109 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (292 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* 2 i) (+ alpha beta)) (+ (pow (+ alpha beta) 3) (* (* 8 i) (* i i))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))))) * * * * [misc]progress: [ 110 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (* (/ (* (+ (+ i beta) alpha) i) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (+ alpha beta) (* i -2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (/ (* (+ (+ i beta) alpha) i) (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta)))) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (+ alpha beta) (* i -2)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (+ alpha beta) (* 2 i))))) * * * * [misc]progress: [ 111 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (* (* 8 i) (* i i)) (pow (+ alpha beta) 3)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))))) * * * * [misc]progress: [ 112 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i -2) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (+ (* i -2) (+ alpha beta)) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (+ alpha beta) (* 2 i))))) * * * * [misc]progress: [ 113 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 1.0 1.0) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (+ (* 1.0 (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (+ (* 1.0 1.0) (pow (+ (* 2 i) (+ beta alpha)) 4))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (pow (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 3) (pow 1.0 3))) (+ (* 1.0 (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (+ (* 1.0 1.0) (pow (+ (* 2 i) (+ beta alpha)) 4))))) * * * * [misc]progress: [ 114 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* 1.0 1.0))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 115 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))))) * * * * [misc]progress: [ 116 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * [exit]simplify: Simplified to (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (pow (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (+ alpha beta) i) (* i i))) 1) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 117 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* i (+ (+ alpha beta) i))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (+ (log (* (+ (+ i beta) alpha) i)) (log (* (+ alpha i) (+ i beta)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (exp (+ (log (* (+ (+ i beta) alpha) i)) (log (* (+ alpha i) (+ i beta))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 119 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (329 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) 3) (pow (* (+ alpha (+ i beta)) i) 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (cbrt (* (pow (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) 3) (pow (* (+ alpha (+ i beta)) i) 3))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 122 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (* (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (+ (* i i) (* (+ beta alpha) (+ (- i) (+ beta alpha)))) (+ (+ (* (* alpha beta) (* alpha beta)) (* (+ (+ beta i) alpha) (* (* alpha beta) (- i)))) (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) (* (+ (* i i) (* (+ beta alpha) (+ (- i) (+ beta alpha)))) (+ (+ (* (* alpha beta) (* alpha beta)) (* (+ (+ beta i) alpha) (* (* alpha beta) (- i)))) (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 126 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (* (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (- (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (468 enodes) * [exit]simplify: Simplified to (* (- (* alpha (- beta i)) (* i (+ beta i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- i beta) alpha) i))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) (* (- (* alpha (- beta i)) (* i (+ beta i))) (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- i beta) alpha) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 127 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (+ (* (* (* i (* beta alpha)) (* (* beta alpha) (* beta alpha))) (* (- (+ alpha beta) i) (+ (+ alpha beta) i))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (* (- (+ alpha beta) i) (+ (+ alpha beta) i)) (* (* i i) (+ (+ alpha beta) i))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (+ (* (* (* i (* beta alpha)) (* (* beta alpha) (* beta alpha))) (* (- (+ alpha beta) i) (+ (+ alpha beta) i))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (* (- (+ alpha beta) i) (+ (+ alpha beta) i)) (* (* i i) (+ (+ alpha beta) i))))) (* (- (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (* (+ beta (- alpha i)) (- (* (* i (+ (+ i alpha) beta)) (* i (+ (+ i alpha) beta))) (- (* (+ (+ i alpha) beta) (* i (* alpha beta))) (* (* alpha beta) (* alpha beta))))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) (* (+ beta (- alpha i)) (- (* (* i (+ (+ i alpha) beta)) (* i (+ (+ i alpha) beta))) (- (* (+ (+ i alpha) beta) (* i (* alpha beta))) (* (* alpha beta) (* alpha beta)))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 128 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (* (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i)) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (* (- (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (312 enodes) * [exit]simplify: Simplified to (* (+ (- beta i) alpha) (- (* beta (- alpha i)) (* (+ i alpha) i))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) (* (+ (- beta i) alpha) (- (* beta (- alpha i)) (* (+ i alpha) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 129 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (+ (* (* i (+ (+ alpha beta) i)) (* beta alpha)) (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 131 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (+ (* (* beta alpha) (* i (+ (+ alpha beta) i))) (* (* (+ (+ i beta) alpha) i) (* (+ (+ i beta) alpha) i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 132 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (cbrt (* (+ i beta) (+ alpha i))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (* (+ i beta) (+ alpha i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 133 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (sqrt (* (+ i beta) (+ alpha i))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (* (* (* i (+ (+ alpha beta) i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (* (+ i beta) (+ alpha i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 134 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (+ alpha i) (+ i beta)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (* (* (* i (+ (+ alpha beta) i)) 1) (* (+ alpha i) (+ i beta))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 135 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha))))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 137 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (- (* (- beta i) alpha) (* i (+ i beta))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta i) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) (- (* (- beta i) alpha) (* i (+ i beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 138 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (+ (pow (+ alpha beta) 3) (pow i 3))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (* (* (+ alpha beta) (+ alpha beta)) (* (+ alpha beta) i)) (pow i 4))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 139 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta i) (/ (/ (/ (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i)))) (- (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 140 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (pow (+ (* 2 i) (+ beta alpha)) (+ 1 1)) 1.0))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (pow (+ (+ alpha beta) (* 2 i)) 2) 1.0))) * * * * [misc]progress: [ 142 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (pow (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1) 1.0))) * * * * [misc]progress: [ 143 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (pow (+ (* 2 i) (+ beta alpha)) (+ 1 1)) 1.0))) * * * * [misc]progress: [ 145 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (exp (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha))))) 1.0))) * * * * [misc]progress: [ 147 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 148 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (cbrt (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3))) 1.0))) * * * * [misc]progress: [ 150 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 152 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))))) 1.0))) * * * * [misc]progress: [ 154 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i)))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i)))) 1.0))) * * * * [misc]progress: [ 155 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 156 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i)))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 157 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (* 2 i)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (* 2 i) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* (+ (+ alpha beta) (* 2 i)) (+ alpha beta)) (* (* 2 i) (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 159 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 i) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (* (+ (+ alpha beta) (* 2 i)) (* 2 i)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* (+ alpha beta) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (* 2 i))) 1.0))) * * * * [misc]progress: [ 160 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 161 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 162 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* (+ (+ alpha beta) (* 2 i)) 1) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 163 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1.0))) * * * * [misc]progress: [ 164 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (sqrt (+ (* 2 i) (+ beta alpha))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1.0))) * * * * [misc]progress: [ 165 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 166 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) 1.0))) * * * * [misc]progress: [ 167 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (* -2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (+ (* -2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 168 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) 1.0))) * * * * [misc]progress: [ 169 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (/ (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) (- (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 170 / 182 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* i alpha) (pow i 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (+ alpha i) i) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ alpha i) i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 172 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (pow i 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* i i) 1/4) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* i i) 1/4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 173 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (pow i 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* i i) 1/4) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* i i) 1/4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 174 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1.0 (* i alpha)) (+ (* 1.0 (pow i 4)) (* 1.0 (pow i 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (- (* (- 1.0) (pow i 4)) (* (+ i alpha) (* 1.0 i))) * [misc]simplify: Simplified (2) to (λ (alpha beta i) (- (* (- 1.0) (pow i 4)) (* (+ i alpha) (* 1.0 i)))) * * * * [misc]progress: [ 175 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (alpha beta i) 0) * * * * [misc]progress: [ 176 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (alpha beta i) 0) * * * * [misc]progress: [ 177 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ 0 (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 178 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow i 2) (pow beta 2)) (+ (* i (* beta (pow alpha 2))) (* i (* (pow beta 2) alpha)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (* beta i) (+ (* beta i) (* alpha (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (* beta i) (+ (* beta i) (* alpha (+ beta alpha)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 179 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow i 2) (pow beta 2)) (+ (* i (* beta (pow alpha 2))) (* i (* (pow beta 2) alpha)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * [exit]simplify: Simplified to (* (* beta i) (+ (* beta i) (* alpha (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* (* beta i) (+ (* beta i) (* alpha (+ beta alpha)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 180 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (+ (* beta (* alpha 2)) (+ (* beta beta) (* alpha alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* beta (* alpha 2)) (+ (* beta beta) (* alpha alpha))) 1.0))) * * * * [misc]progress: [ 181 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* 4 i) (+ beta (+ i alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* 4 i) (+ beta (+ i alpha))) 1.0))) * * * * [misc]progress: [ 182 / 182 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* 4 i) (+ beta (+ i alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (* 4 i) (+ beta (+ i alpha))) 1.0))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (/ (pow (+ beta alpha) 2) (* beta alpha)) into (/ (pow (+ beta alpha) 2) (* beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) into (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) into (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) into (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) * [misc]taylor: Taking taylor expansion of (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (* 2 i) beta) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 i) beta) in beta * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ (* 2 i) 0) into (* 2 i) * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (* 2 i) (* 2 i)) into (* 4 (pow i 2)) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (/ (* 4 (pow i 2)) (pow i 2)) into 4 * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 1) (* 1 (+ (* 2 i) beta))) into (+ (* 4 i) (* 2 beta)) * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i beta))) into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 i) (* 2 beta)) (+ (pow i 2) (* i beta))) (+ (* (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) (/ (+ i beta) (+ (pow i 2) (* i beta)))))) into (- (+ (* 4 (/ i (+ (pow i 2) (* i beta)))) (* 2 (/ beta (+ (pow i 2) (* i beta))))) (+ (* 4 (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 4 (/ i (+ (pow i 2) (* i beta)))) (* 2 (/ beta (+ (pow i 2) (* i beta))))) (+ (* 4 (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ i (+ (pow i 2) (* i beta)))) (* 2 (/ beta (+ (pow i 2) (* i beta))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ i (+ (pow i 2) (* i beta)))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ i (+ (pow i 2) (* i beta))) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (/ i (pow i 2)) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (+ (pow i 2) (* i beta)))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ beta (+ (pow i 2) (* i beta))) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ (pow i 3) (pow i 4)) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (* i (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ i (pow i 4)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 8 in beta * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ (pow i 2) (pow i 4)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4)) * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 i))) into (- (* 4 (/ 1 i))) * [misc]backup-simplify: Simplify (+ (* 4 (/ 1 i)) (- (* 4 (/ 1 i)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 1) (* 1 (* 2 i))) into (* 4 i) * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (- (/ (* 4 i) (pow i 2)) (+ (* 4 (/ i (pow i 2))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2 i) beta)))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 (+ i beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (+ (pow i 2) (* i beta))) (+ (* (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) (/ 0 (+ (pow i 2) (* i beta)))) (* (- (+ (* 4 (/ i (+ (pow i 2) (* i beta)))) (* 2 (/ beta (+ (pow i 2) (* i beta))))) (+ (* 4 (/ (pow i 3) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 5 (/ (* i (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 8 (/ (* (pow i 2) beta) (pow (+ (pow i 2) (* i beta)) 2))) (/ (pow beta 3) (pow (+ (pow i 2) (* i beta)) 2)))))) (/ (+ i beta) (+ (pow i 2) (* i beta)))))) into (- (+ (* 12 (/ (* (pow i 3) beta) (pow (+ (pow i 2) (* i beta)) 3))) (+ (* 6 (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3))) (+ (/ 1 (+ (pow i 2) (* i beta))) (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)))))))) (+ (* 6 (/ (* i beta) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 4 (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2))) (* 2 (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 12 (/ (* (pow i 3) beta) (pow (+ (pow i 2) (* i beta)) 3))) (+ (* 6 (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3))) (+ (/ 1 (+ (pow i 2) (* i beta))) (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)))))))) (+ (* 6 (/ (* i beta) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 4 (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2))) (* 2 (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (* (pow i 3) beta) (pow (+ (pow i 2) (* i beta)) 3))) (+ (* 6 (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3))) (+ (/ 1 (+ (pow i 2) (* i beta))) (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)))))))) in beta * [misc]taylor: Taking taylor expansion of (* 12 (/ (* (pow i 3) beta) (pow (+ (pow i 2) (* i beta)) 3))) in beta * [misc]taylor: Taking taylor expansion of 12 in beta * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (* (pow i 3) beta) (pow (+ (pow i 2) (* i beta)) 3)) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 3) beta) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* (pow i 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 (pow i 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 3) 1) (* 0 0)) into (pow i 3) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 4)) into (pow i 6) * [misc]backup-simplify: Simplify (/ (pow i 3) (pow i 6)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3))) (+ (/ 1 (+ (pow i 2) (* i beta))) (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3))))))) in beta * [misc]taylor: Taking taylor expansion of (* 6 (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3))) in beta * [misc]taylor: Taking taylor expansion of 6 in beta * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* i (pow beta 3)) (pow (+ (pow i 2) (* i beta)) 3)) in beta * [misc]taylor: Taking taylor expansion of (* i (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 4)) into (pow i 6) * [misc]backup-simplify: Simplify (/ i (pow i 6)) into (/ 1 (pow i 5)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (+ (pow i 2) (* i beta))) (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow i 2) (* i beta))) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3))))) in beta * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (+ (pow i 2) (* i beta)) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 4)) into (pow i 6) * [misc]backup-simplify: Simplify (/ 1 (pow i 6)) into (/ 1 (pow i 6)) * [misc]taylor: Taking taylor expansion of (+ (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 13 (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3))) in beta * [misc]taylor: Taking taylor expansion of 13 in beta * [misc]backup-simplify: Simplify 13 into 13 * [misc]taylor: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (pow (+ (pow i 2) (* i beta)) 3)) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 4)) into (pow i 6) * [misc]backup-simplify: Simplify (/ (pow i 2) (pow i 6)) into (/ 1 (pow i 4)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow i 4) (pow (+ (pow i 2) (* i beta)) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow i 4) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 4)) into (pow i 6) * [misc]backup-simplify: Simplify (/ (pow i 4) (pow i 6)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* i beta) (pow (+ (pow i 2) (* i beta)) 2))) (+ (* 4 (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2))) (* 2 (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 6 (/ (* i beta) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 6 in beta * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* i beta) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ i (pow i 4)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2))) (* 2 (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow i 2) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ (pow i 2) (pow i 4)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (+ (pow i 2) (* i beta)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ (pow i 2) (* i beta)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow i 2))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (pow i 2)) (* 4 (/ 1 (pow i 2)))) into (* 5 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 5 (/ 1 (pow i 2)))) into (* 5 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 5 (/ 1 (pow i 2)))) into (* 5 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ 4 (pow i 2)) 0) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow i 2)))) into (- (* 4 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 5 (/ 1 (pow i 2))) (- (* 4 (/ 1 (pow i 2))))) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (- (/ 0 (pow i 2)) (+ (* (/ 1 i) (/ i (pow i 2))))) into (- (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ (* 4 (- (/ 1 (pow i 2)))) (* 0 (/ 1 i))) into (- (* 4 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow i 2))) into (/ 2 (pow i 2)) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow i 2)))) (/ 2 (pow i 2))) into (- (* 2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 (pow i 2))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (+ (* (pow i 2) i) (* i (pow i 2))) into (* 2 (pow i 3)) * [misc]backup-simplify: Simplify (- (/ 0 (pow i 4)) (+ (* (/ 1 i) (/ (* 2 (pow i 3)) (pow i 4))))) into (- (* 2 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 2 (/ 1 (pow i 2))))) (* 0 (/ 1 i))) into (- (* 8 (/ 1 (pow i 2)))) * [misc]backup-simplify: Simplify (* 8 (/ 1 (pow i 2))) into (/ 8 (pow i 2)) * [misc]backup-simplify: Simplify (+ (/ 8 (pow i 2)) 0) into (* 8 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 8 (/ 1 (pow i 2)))) into (* 8 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ (- (* 8 (/ 1 (pow i 2)))) (* 8 (/ 1 (pow i 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 (pow i 2)))) 0) into (- (* 2 (/ 1 (pow i 2)))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (pow i 2)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 0) (+ (* 1 1) (* 0 (* 2 i)))) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (pow i 2)) (+ (* 4 (/ 0 (pow i 2))) (* 0 (/ i (pow i 2))))) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 4 into 4 * [misc]approximate: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* (+ (/ 1 beta) (* 2 (/ 1 i))) 1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) (+ (/ 1 beta) (/ 1 i))) (* 0 1)) into (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (* i beta)) (/ 1 (pow i 2)))) into (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) (+ (/ 1 beta) (/ 1 i))) (+ (* (/ 1 (+ (/ 1 beta) (/ 1 i))) (/ (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) (+ (/ 1 beta) (/ 1 i)))))) into (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) beta) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (/ 1 i) 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 2 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) 0) (+ (* 0 (+ (/ 1 beta) (/ 1 i))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) (+ (/ 1 beta) (/ 1 i))) (+ (* (/ 1 (+ (/ 1 beta) (/ 1 i))) (/ 0 (+ (/ 1 beta) (/ 1 i)))) (* (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) (/ (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) (+ (/ 1 beta) (/ 1 i)))))) into (- (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (pow i 3) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 i))) (* (/ 1 i) 1)) into (* 3 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 3 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 (pow i 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 3) 1) (* 0 0)) into (pow i 3) * [misc]backup-simplify: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow i 4) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 4) 1) into (pow i 4) * [misc]backup-simplify: Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (+ (/ 1 beta) (/ 1 i)) beta)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) beta) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (/ 1 i) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))))))) in beta * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) in beta * [misc]taylor: Taking taylor expansion of 6 in beta * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (pow i 2) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 2 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 3) 1) into (pow i 3) * [misc]backup-simplify: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 beta) (/ 1 (/ 1 alpha))))) (+ 2 (* 1 (* 1 (* (/ 1 (/ 1 beta)) (/ 1 alpha)))))) into (+ (/ beta alpha) (+ 2 (/ alpha beta))) * [misc]approximate: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) -1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 beta) 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -1 i)) into (- (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) (- (+ (/ 1 beta) (/ 1 i)))) (* 0 -1)) into (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (* i beta)) (/ 1 (pow i 2)))) into (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (- (/ (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) (+ (/ 1 beta) (/ 1 i))) (+ (* (/ 1 (+ (/ 1 beta) (/ 1 i))) (/ (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) (+ (/ 1 beta) (/ 1 i)))))) into (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) beta) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (/ 1 i) 0)) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 2 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 beta) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) 0) (+ (* 0 (- (+ (/ 1 beta) (/ 1 i)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) (+ (/ 1 beta) (/ 1 i))) (+ (* (/ 1 (+ (/ 1 beta) (/ 1 i))) (/ 0 (+ (/ 1 beta) (/ 1 i)))) (* (- (+ (* 2 (/ 1 (* (+ (/ 1 beta) (/ 1 i)) beta))) (* 4 (/ 1 (* i (+ (/ 1 beta) (/ 1 i)))))) (+ (/ 1 (* (pow i 2) (pow (+ (/ 1 beta) (/ 1 i)) 2))) (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))))) (/ (+ (/ 1 (* i beta)) (/ 1 (pow i 2))) (+ (/ 1 beta) (/ 1 i)))))) into (- (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 3) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 3) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (pow i 3) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 (* 2 (/ 1 i))) (* (/ 1 i) 1)) into (* 3 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 3 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 (pow i 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 3) 1) (* 0 0)) into (pow i 3) * [misc]backup-simplify: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 3) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 4) (pow (+ (/ 1 beta) (/ 1 i)) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow i 4) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 3) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* (pow i 2) (pow i 2)) into (pow i 4) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 4) 1) into (pow i 4) * [misc]backup-simplify: Simplify (/ 1 (pow i 4)) into (/ 1 (pow i 4)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta)))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (+ (/ 1 beta) (/ 1 i)) beta))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (+ (/ 1 beta) (/ 1 i)) beta)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) beta) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (/ 1 i) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (+ (/ 1 beta) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (+ (/ 1 beta) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (pow i 2) 1) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))))))) in beta * [misc]taylor: Taking taylor expansion of (* 6 (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)))) in beta * [misc]taylor: Taking taylor expansion of 6 in beta * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 2) (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (* (pow i 2) 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 i)) (* (/ 1 i) 1)) into (* 2 (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* (* 2 (/ 1 i)) 0)) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow i 3) (pow (+ (/ 1 beta) (/ 1 i)) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 3) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i (pow i 2)) into (pow i 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow i 3) 1) into (pow i 3) * [misc]backup-simplify: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3)) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* i (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (pow (+ (/ 1 beta) (/ 1 i)) 2) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ (/ 1 beta) (/ 1 i)) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* i 1) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* (/ 1 (- beta)) (/ 1 (/ 1 (- alpha)))))) (+ 2 (* 1 (* 1 (* (/ 1 (/ 1 (- beta))) (/ 1 (- alpha))))))) into (+ (/ beta alpha) (+ 2 (/ alpha beta))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) into (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (/ (* i (+ i alpha)) (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha)))) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) alpha) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0)) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (* (pow (+ (* 2 i) alpha) 2) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) into (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (/ (* i (+ i beta)) (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta)))) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) beta) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0)) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (* (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) (pow (+ (* 2 i) beta) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (/ (pow (+ beta alpha) 2) (* beta alpha)) into (/ (pow (+ beta alpha) 2) (* beta alpha)) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (/ (pow (+ beta alpha) 2) (* beta alpha))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* beta alpha) (+ beta alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (/ (pow (+ beta alpha) 2) (* beta alpha)) into (/ (pow (+ beta alpha) 2) (* beta alpha)) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (/ (pow (+ beta alpha) 2) (* beta alpha))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* beta alpha) (+ beta alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) beta)) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 beta) (* 4 alpha)) (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) * [misc]backup-simplify: Simplify (- (/ 1 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 4 (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ 1 (* beta alpha))) (* (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- (/ (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ 4 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 5) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (- (pow beta 2) 1.0)) (* (* 5 (pow beta 4)) 0)) into (- (pow beta 7) (* 1.0 (pow beta 5))) * [misc]backup-simplify: Simplify (/ (pow beta 5) (- (pow beta 7) (* 1.0 (pow beta 5)))) into (/ (pow beta 5) (- (pow beta 7) (* 1.0 (pow beta 5)))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (pow beta 2) 1.0)) (* (* 3 (pow beta 2)) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3))) * [misc]backup-simplify: Simplify (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (* 2 beta)) (+ (* (* 5 (pow beta 4)) (- (pow beta 2) 1.0)) (* (* 10 (pow beta 3)) 0))) into (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 7) (* 1.0 (pow beta 5)))) (+ (* (/ (pow beta 5) (- (pow beta 7) (* 1.0 (pow beta 5)))) (/ (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) (- (pow beta 7) (* 1.0 (pow beta 5))))))) into (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) 0) into (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (- (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (+ (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0)) (* (* 3 beta) 0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (- (- (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) (- (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))))) into (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 5.0 (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 5.0 in beta * [misc]backup-simplify: Simplify 5.0 into 5.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 9) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 7) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 7 (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 7 in beta * [misc]backup-simplify: Simplify 7 into 7 * [misc]taylor: Taking taylor expansion of (/ (pow beta 11) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 11) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 7) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 3.0 in beta * [misc]backup-simplify: Simplify 3.0 into 3.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 3))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 3)))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (/ 1 (* (- (pow beta 2) 1.0) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 9 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 9 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 3.0 in beta * [misc]backup-simplify: Simplify 3.0 into 3.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 9 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 9 in beta * [misc]backup-simplify: Simplify 9 into 9 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (- (pow beta 2) 1.0))) into (- (* 3 (pow beta 2)) 1.0) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) beta)) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 3 (pow beta 2)) 1.0) (* (- (pow beta 2) 1.0) beta))))) into (- (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ 0 (* beta alpha))) (* (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ 1 (* beta alpha))) (* (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ 1 (pow beta 3)) (/ 1 (pow alpha 3))) (+ (/ beta (pow alpha 4)) (/ alpha (pow beta 4)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ 1 (pow beta 3)) (/ 1 (pow alpha 3))) (+ (/ beta (pow alpha 4)) (/ alpha (pow beta 4)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) (/ (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (pow beta 2))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 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beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))))))))))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 8 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 7) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 7) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 9)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 9))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 9))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 7) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) beta) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 5) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 6) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 7))) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 1) (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 0)) into (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 3 (pow beta 2)) 0)) into (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) * [misc]backup-simplify: Simplify (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) into (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (- (pow beta 2) 1.0)) (* (* 5 (pow beta 4)) 0)) into (- (pow beta 7) (* 1.0 (pow beta 5))) * [misc]backup-simplify: Simplify (/ (pow beta 4) (- (pow beta 7) (* 1.0 (pow beta 5)))) into (/ (pow beta 4) (- (pow beta 7) (* 1.0 (pow beta 5)))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 7) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 6) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 6) (- (pow beta 2) 1.0)) (* (* 6 (pow beta 5)) 0)) into (- (pow beta 8) (* 1.0 (pow beta 6))) * [misc]backup-simplify: Simplify (/ (pow beta 5) (- (pow beta 8) (* 1.0 (pow beta 6)))) into (/ (pow beta 5) (- (pow beta 8) (* 1.0 (pow beta 6)))) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 7) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 7) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 7) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ (pow beta 7) (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (* 12 (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 6) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 7) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 5))) (* 1 (pow beta 6))) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) (- (pow beta 2) 1.0)) (* (* 7 (pow beta 6)) 0)) into (- (pow beta 9) (* 1.0 (pow beta 7))) * [misc]backup-simplify: Simplify (/ (pow beta 6) (- (pow beta 9) (* 1.0 (pow beta 7)))) into (/ (pow beta 6) (- (pow beta 9) (* 1.0 (pow beta 7)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 5) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 5) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 7))) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 6 (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 6 in alpha * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 7) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) (- (pow beta 2) 1.0)) (* (* 4 (pow beta 3)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4))) * [misc]backup-simplify: Simplify (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 6) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) beta) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (* (pow beta 5) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 6) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 1) (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 0)) into (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 5 (pow beta 4)) 0)) into (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) * [misc]backup-simplify: Simplify (/ (pow beta 6) (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7)))) into (/ (pow beta 6) (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7)))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 4) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 6) (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 6) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 7) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 8)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 8))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 8))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 6 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 6 in alpha * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 7) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 7)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 7))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 4) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 12 (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 12 in alpha * [misc]backup-simplify: Simplify 12 into 12 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 5))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (pow beta 2) 1.0)) (* (* 3 (pow beta 2)) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3))) * [misc]backup-simplify: Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 6) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 5) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 6 (pow beta 2)) 2.0) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 0) (+ (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 1) (* (- (* 6 (pow beta 2)) 2.0) 0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (* 4 (pow beta 3)) (* 4.0 beta))) (+ (* (* 3 (pow beta 2)) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 3 beta) 0))) into (- (+ (* 3.0 (pow beta 2)) (* 7 (pow beta 6))) (* 10.0 (pow beta 4))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) (+ (* (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) (/ (- (+ (* 3.0 (pow beta 2)) (* 7 (pow beta 6))) (* 10.0 (pow beta 4))) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))))))) into (- (* 10.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 10.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)))))) (* 0 (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))))) into (- (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (* 2 beta)) (+ (* (* 5 (pow beta 4)) (- (pow beta 2) 1.0)) (* (* 10 (pow beta 3)) 0))) into (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 7) (* 1.0 (pow beta 5)))) (+ (* (/ (pow beta 4) (- (pow beta 7) (* 1.0 (pow beta 5)))) (/ (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) (- (pow beta 7) (* 1.0 (pow beta 5))))))) into (- (* 5.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 5.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 7 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))) (* 0 (/ (pow beta 4) (- (pow beta 7) (* 1.0 (pow beta 5)))))) into (- (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) * [misc]backup-simplify: Simplify (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 6) (* 2 beta)) (+ (* (* 6 (pow beta 5)) (- (pow beta 2) 1.0)) (* (* 15 (pow beta 4)) 0))) into (- (* 8 (pow beta 7)) (* 6.0 (pow beta 5))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 8) (* 1.0 (pow beta 6)))) (+ (* (/ (pow beta 5) (- (pow beta 8) (* 1.0 (pow beta 6)))) (/ (- (* 8 (pow beta 7)) (* 6.0 (pow beta 5))) (- (pow beta 8) (* 1.0 (pow beta 6))))))) into (- (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* 0 0) (* 0 (pow beta 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 5))) (* 1 (pow beta 6))) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta (* 15 (pow beta 4))) (+ (* 1 (* 6 (pow beta 5))) (* 0 (pow beta 6)))) into (* 21 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) 1) (+ (* (* 7 (pow beta 6)) (* 2 beta)) (* (* 21 (pow beta 5)) (- (pow beta 2) 1.0)))) into (- (* 36 (pow beta 7)) (* 21.0 (pow beta 5))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 7) (* 2 beta)) (* (* 7 (pow beta 6)) (- (pow beta 2) 1.0))) into (- (* 9 (pow beta 8)) (* 7.0 (pow beta 6))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 7))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 9 (pow beta 8)) (* 7.0 (pow beta 6))) (* (- (pow beta 2) 1.0) (pow beta 7)))))) into (- (* 7.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 9 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 7))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 36 (pow beta 7)) (* 21.0 (pow beta 5))) (* (- (pow beta 2) 1.0) (pow beta 7)))) (* (- (* 7.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 9 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 9 (pow beta 8)) (* 7.0 (pow beta 6))) (* (- (pow beta 2) 1.0) (pow beta 7)))))) into (- (+ (* 21.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 49.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 81 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 36 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 126.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (+ (* (* 3 (pow beta 2)) (* 2 beta)) (* (* 3 beta) (- (pow beta 2) 1.0)))) into (- (* 10 (pow beta 3)) (* 3.0 beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 3))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 3)))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 3))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 10 (pow beta 3)) (* 3.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 3)))) (* (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 3)))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) 0) into (- (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 21.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 49.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 81 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 36 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 126.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) (- (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (- (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))) (- (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 106 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (- (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))) (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) * [misc]backup-simplify: Simplify (+ (- (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) (- (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))))))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) into (- (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))))))))) * [misc]backup-simplify: Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 46 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))))) into (- (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) into (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta (* 15 (pow beta 4))) (+ (* 1 (* 6 (pow beta 5))) (* 0 (pow beta 6)))) into (* 21 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) (* 2 beta)) (+ (* (* 7 (pow beta 6)) (- (pow beta 2) 1.0)) (* (* 21 (pow beta 5)) 0))) into (- (* 9 (pow beta 8)) (* 7.0 (pow beta 6))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 9) (* 1.0 (pow beta 7)))) (+ (* (/ (pow beta 6) (- (pow beta 9) (* 1.0 (pow beta 7)))) (/ (- (* 9 (pow beta 8)) (* 7.0 (pow beta 6))) (- (pow beta 9) (* 1.0 (pow beta 7))))))) into (- (* 7.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (* 9 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 7.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (* 9 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))))) (* 0 (/ (pow beta 6) (- (pow beta 9) (* 1.0 (pow beta 7)))))) into (- (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (+ (* (* 5 (pow beta 4)) (* 2 beta)) (* (* 10 (pow beta 3)) (- (pow beta 2) 1.0)))) into (- (* 21 (pow beta 5)) (* 10.0 (pow beta 3))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (* 2 beta)) (* (* 5 (pow beta 4)) (- (pow beta 2) 1.0))) into (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 5))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) (* (- (pow beta 2) 1.0) (pow beta 5)))))) into (- (* 5.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 7 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 5))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 21 (pow beta 5)) (* 10.0 (pow beta 3))) (* (- (pow beta 2) 1.0) (pow beta 5)))) (* (- (* 5.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 7 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 7 (pow beta 6)) (* 5.0 (pow beta 4))) (* (- (pow beta 2) 1.0) (pow beta 5)))))) into (- (+ (* 10.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 25.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 49 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 21 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 70.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* 2 (- (+ (* 10.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 25.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 49 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 21 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 70.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 0 (- (* 5.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 7 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 0 (/ 1 (- (pow beta 2) 1.0))))) into (- (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) (* 2 beta)) (+ (* (* 4 (pow beta 3)) (- (pow beta 2) 1.0)) (* (* 6 (pow beta 2)) 0))) into (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 6) (* 1.0 (pow beta 4)))) (+ (* (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) (/ (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (- (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 6 (pow beta 2)) 2.0) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 0) (+ (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 1) (* (- (* 6 (pow beta 2)) 2.0) 0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) (- (* 4 (pow beta 3)) (* 4.0 beta))) (+ (* (* 5 (pow beta 4)) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 10 (pow beta 3)) 0))) into (- (+ (* 9 (pow beta 8)) (* 5.0 (pow beta 4))) (* 14.0 (pow beta 6))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7)))) (+ (* (/ (pow beta 6) (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7)))) (/ (- (+ (* 9 (pow beta 8)) (* 5.0 (pow beta 4))) (* 14.0 (pow beta 6))) (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))))))) into (- (* 14.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 9 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 5.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 14.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 9 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 5.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (* 0 (/ (pow beta 6) (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7)))))) into (- (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (+ (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0)) (* (* 3 beta) 0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) (pow beta 2))) 0) into (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (- (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))) (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) * [misc]backup-simplify: Simplify (+ (- (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))) into (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) (- (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ (- (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2)))) (- (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))))) (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))) into (- (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 58.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 122 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 24.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))))))))) (+ (* 42 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (* 156.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) (- (+ (* 34 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 140.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 50.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 98 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 20.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)))))))))))) into (- (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 27 (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) in beta * [misc]taylor: Taking taylor expansion of 27 in beta * [misc]backup-simplify: Simplify 27 into 27 * [misc]taylor: Taking taylor expansion of (/ (pow beta 14) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 14) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 9) (* 1.0 (pow beta 7))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 8.0 in beta * [misc]backup-simplify: Simplify 8.0 into 8.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1.0 1) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 24 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta * [misc]taylor: Taking taylor expansion of 24 in beta * [misc]backup-simplify: Simplify 24 into 24 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 6.0 (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) in beta * [misc]taylor: Taking taylor expansion of 6.0 in beta * [misc]backup-simplify: Simplify 6.0 into 6.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 10) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 8) (* 1.0 (pow beta 6))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 6)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 36 (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) in beta * [misc]taylor: Taking taylor expansion of 36 in beta * [misc]backup-simplify: Simplify 36 into 36 * [misc]taylor: Taking taylor expansion of (/ (pow beta 14) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 14) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) in beta * [misc]taylor: Taking taylor expansion of (+ (pow beta 9) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 0 1.0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) in beta * [misc]taylor: Taking taylor expansion of (* 40.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 40.0 in beta * [misc]backup-simplify: Simplify 40.0 into 40.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) in beta * [misc]taylor: Taking taylor expansion of (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))) in beta * [misc]taylor: Taking taylor expansion of (* 20.0 (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) in beta * [misc]taylor: Taking taylor expansion of 20.0 in beta * [misc]backup-simplify: Simplify 20.0 into 20.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 10) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) in beta * [misc]taylor: Taking taylor expansion of (+ (pow beta 9) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 0 1.0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 4.0 in beta * [misc]backup-simplify: Simplify 4.0 into 4.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 20.0 (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 20.0 in beta * [misc]backup-simplify: Simplify 20.0 into 20.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 7) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 6 in beta * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 6) (* 1.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 8 (/ 1 (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 8 in beta * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 8 (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2))) in beta * [misc]taylor: Taking taylor expansion of 8 in beta * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 12) (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 12) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 8) (* 1.0 (pow beta 6))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 8) (* 1.0 (pow beta 6))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 6)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 21.0 (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2))) in beta * [misc]taylor: Taking taylor expansion of 21.0 in beta * [misc]backup-simplify: Simplify 21.0 into 21.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 12) (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 12) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 9) (* 1.0 (pow beta 7))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 9) (* 1.0 (pow beta 7))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 28 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 28 in beta * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 3.0 in beta * [misc]backup-simplify: Simplify 3.0 into 3.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) in beta * [misc]taylor: Taking taylor expansion of (* 12.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 12.0 in beta * [misc]backup-simplify: Simplify 12.0 into 12.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) in beta * [misc]taylor: Taking taylor expansion of (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 4.0 in beta * [misc]backup-simplify: Simplify 4.0 into 4.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 6) (* 1.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) in beta * [misc]taylor: Taking taylor expansion of (* 28 (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 28 in beta * [misc]backup-simplify: Simplify 28 into 28 * [misc]taylor: Taking taylor expansion of (/ (pow beta 10) (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 7) (* 1.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 7) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) 1) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 56.0 (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2))) in beta * [misc]taylor: Taking taylor expansion of 56.0 in beta * [misc]backup-simplify: Simplify 56.0 into 56.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 12) (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 12) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 9) (* 1.0 (pow beta 5))) (* 2.0 (pow beta 7))) in beta * [misc]taylor: Taking taylor expansion of (+ (pow beta 9) (* 1.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 9) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 0 1.0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta * [misc]taylor: Taking taylor expansion of 16.0 in beta * [misc]backup-simplify: Simplify 16.0 into 16.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]backup-simplify: Simplify (* 27 1.0) into 27.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* (- 1.0) (- 2.0)) (+ (* 0 0) (* 1 1.0))) into 3.0 * [misc]backup-simplify: Simplify (+ (* -1.0 0) (+ (* 0 0) (* 3.0 1))) into 3.0 * [misc]backup-simplify: Simplify (+ (* -1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 3.0 -1.0)) (* 0 (/ 0 -1.0)))) into (- 3.0) * [misc]backup-simplify: Simplify (+ (* 8.0 (- 3.0)) (+ (* 0 0) (* 0 -1.0))) into (- 24.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 6.0 2.0) (+ (* 0 0) (* 0 1.0))) into 12.0 * [misc]backup-simplify: Simplify (* 5 1.0) into 5.0 * [misc]backup-simplify: Simplify (* 20.0 1.0) into 20.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* (- 2.0) 1))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 4.0 2.0) (+ (* 0 0) (* 0 1.0))) into 8.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 20.0 2.0) (+ (* 0 0) (* 0 1.0))) into 40.0 * [misc]backup-simplify: Simplify (* 6 1.0) into 6.0 * [misc]backup-simplify: Simplify (+ 40.0 6.0) into 46.0 * [misc]backup-simplify: Simplify (+ 8.0 46.0) into 54.0 * [misc]backup-simplify: Simplify (+ 20.0 54.0) into 74.0 * [misc]backup-simplify: Simplify (+ 5.0 74.0) into 79.0 * [misc]backup-simplify: Simplify (+ 0 79.0) into 79.0 * [misc]backup-simplify: Simplify (+ 0 79.0) into 79.0 * [misc]backup-simplify: Simplify (+ 12.0 79.0) into 91.0 * [misc]backup-simplify: Simplify (+ 0 91.0) into 91.0 * [misc]backup-simplify: Simplify (+ (- 24.0) 91.0) into 67.0 * [misc]backup-simplify: Simplify (+ 27.0 67.0) into 94.0 * [misc]backup-simplify: Simplify (* 8 1.0) into 8.0 * [misc]backup-simplify: Simplify (* 8 1.0) into 8.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 21.0 2.0) (+ (* 0 0) (* 0 1.0))) into 42.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 3.0 2.0) (+ (* 0 0) (* 0 1.0))) into 6.0 * [misc]backup-simplify: Simplify (* 12.0 1.0) into 12.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 4.0 2.0) (+ (* 0 0) (* 0 1.0))) into 8.0 * [misc]backup-simplify: Simplify (* 28 1.0) into 28.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0) * [misc]backup-simplify: Simplify (* 16.0 -1.0) into -16.0 * [misc]backup-simplify: Simplify (+ 0 -16.0) into (- 16.0) * [misc]backup-simplify: Simplify (+ (- 1.0) (- 16.0)) into (- 17.0) * [misc]backup-simplify: Simplify (+ 28.0 (- 17.0)) into 11.0 * [misc]backup-simplify: Simplify (+ 8.0 11.0) into 19.0 * [misc]backup-simplify: Simplify (+ 12.0 19.0) into 31.0 * [misc]backup-simplify: Simplify (+ 6.0 31.0) into 37.0 * [misc]backup-simplify: Simplify (+ 0 37.0) into 37.0 * [misc]backup-simplify: Simplify (+ 42.0 37.0) into 79.0 * [misc]backup-simplify: Simplify (+ 8.0 79.0) into 87.0 * [misc]backup-simplify: Simplify (+ 8.0 87.0) into 95.0 * [misc]backup-simplify: Simplify (- 95.0) into (- 95.0) * [misc]backup-simplify: Simplify (+ 94.0 (- 95.0)) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (* (- 1.0) (pow (* 1 (* 1 i)) 4)) (+ (* -1.0 (* 1 (* alpha i))) (* -1.0 (pow (* 1 (* 1 i)) 2)))) into (- (+ (* 1.0 (* i alpha)) (+ (* 1.0 (pow i 4)) (* 1.0 (pow i 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 alpha) (/ 1 i)))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 beta) (/ 1 i)))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 1) (+ (* 4 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 4) (+ (* 1/4 (/ 0 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1) (+ (* 4 (/ (/ 1 (* beta alpha)) 1)) (* 0 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 alpha) (/ 1 i)))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 i)) i) 1) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 beta) (/ 1 i)))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (/ (+ (/ 1 beta) (/ 1 i)) i) 1) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 1) (+ (* 4 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 4) (+ (* 1/4 (/ 0 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1) (+ (* 4 (/ (/ 1 (* beta alpha)) 1)) (* 0 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) into (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (/ (* i (+ i alpha)) (/ (pow (+ (* 2 i) alpha) 2) (+ (pow i 2) (* i alpha)))) into (/ (* i (* (+ (pow i 2) (* i alpha)) (+ i alpha))) (pow (+ (* 2 i) alpha) 2)) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) into (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (/ (* i (+ i beta)) (/ (pow (+ (* 2 i) beta) 2) (+ (pow i 2) (* i beta)))) into (/ (* i (* (+ i beta) (+ (pow i 2) (* i beta)))) (pow (+ (* 2 i) beta) 2)) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (/ (pow (+ beta alpha) 2) (* beta alpha)) into (/ (pow (+ beta alpha) 2) (* beta alpha)) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (/ (pow (+ beta alpha) 2) (* beta alpha))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (/ (pow (+ beta alpha) 2) (* beta alpha)) into (/ (pow (+ beta alpha) 2) (* beta alpha)) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (/ (pow (+ beta alpha) 2) (* beta alpha))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ beta beta) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 beta) (* 4 alpha)) (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) * [misc]backup-simplify: Simplify (- (/ 1 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 3)) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ beta (pow beta 2)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 3)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ beta (pow beta 3)) into (/ 1 (pow beta 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 4 (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ 1 (* beta alpha))) (* (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 4)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 3)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* (* 5 (pow beta 4)) 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 5) (pow beta 5)) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 5)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) beta) into (pow beta 6) * [misc]backup-simplify: Simplify (/ 1 (pow beta 6)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 5)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 4)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ beta (pow beta 5)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ beta (pow beta 4)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 5)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* (* 3 (pow beta 2)) 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 3)) into 1 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) beta) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 0) (+ (* (* 5 (pow beta 4)) 1) (* (* 10 (pow beta 3)) 0))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 5)) (+ (* 1 (/ (* 5 (pow beta 4)) (pow beta 5))))) into (- (* 5 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (- (* 5 (/ 1 beta))) 0) into (- (* 5 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (- (* 5 (/ 1 beta)))) into (- (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (- (* 4 (/ 1 beta)))) into (- (* 3 (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 (/ 1 beta)) into (/ 2 beta) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* (* 3 (pow beta 2)) 1) (* (* 3 beta) 0))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 3)) (+ (* 1 (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 beta))) 0) into (- (* 3 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 2 beta) (- (* 3 (/ 1 beta)))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (- (- (/ 1 beta))) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 beta))) (/ 1 beta)) into (- (* 2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 3)) (+ (* 1 (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 beta))) (/ 1 beta)) into (- (* 2 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (/ 1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- (* 2 (/ 1 beta))) (- (/ 1 beta))) into (- (* 3 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (* 3 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 3 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 beta) (+ (* 1 (/ 1 beta)))) into (- (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (- (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* beta alpha)) (+ (* (/ (pow (+ beta alpha) 2) (* beta alpha)) (/ 0 (* beta alpha))) (* (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ 1 (* beta alpha))) (* (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (+ beta alpha) (* beta alpha))))) into (- (+ (/ 1 (pow beta 3)) (/ 1 (pow alpha 3))) (+ (/ beta (pow alpha 4)) (/ alpha (pow beta 4)))) * [misc]backup-simplify: Simplify (- (/ 0 (/ (pow (+ beta alpha) 2) (* beta alpha))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (/ 1 (pow beta 3)) (/ 1 (pow alpha 3))) (+ (/ beta (pow alpha 4)) (/ alpha (pow beta 4)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 3)) (+ (/ (* beta alpha) (pow (+ beta alpha) 2)) (/ (pow alpha 3) (pow (+ beta alpha) 3)))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 3)) (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 3)))) (/ (- (+ (/ alpha (pow beta 3)) (/ beta (pow alpha 3))) (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))) (* (- (+ (/ (pow beta 3) (pow (+ beta alpha) 4)) (+ (/ (pow beta 2) (pow (+ beta alpha) 3)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 5) alpha)) (+ (/ (pow alpha 2) (pow (+ beta alpha) 3)) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 5))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 5) beta)) (/ (pow alpha 3) (pow (+ beta alpha) 4)))))))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 5)) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 5))) (+ (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 4)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 5)) (+ (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 4)) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 5))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha)) (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta)))))))))) (/ (- (+ (/ 1 alpha) (/ 1 beta)) (+ (/ beta (pow alpha 2)) (/ alpha (pow beta 2)))) (/ (pow (+ beta alpha) 2) (* beta alpha)))))) into (- (+ (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (pow beta 2))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))))))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha)) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2)))) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (pow beta 2))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))))))) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha)) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2)))) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (pow beta 2))) (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 7) (* (pow (+ beta alpha) 7) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 7) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 7) (pow beta 2)) into (pow beta 9) * [misc]backup-simplify: Simplify (/ 1 (pow beta 9)) into (/ 1 (pow beta 9)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 7) (* (pow (+ beta alpha) 7) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 7) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 7) 1) into (pow beta 7) * [misc]backup-simplify: Simplify (/ (pow beta 7) (pow beta 7)) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 2)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 5) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) beta) into (pow beta 6) * [misc]backup-simplify: Simplify (/ 1 (pow beta 6)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (pow (+ beta alpha) 7)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 7)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 6)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 8 (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7))) in alpha * [misc]taylor: Taking taylor expansion of 8 in alpha * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (pow (+ beta alpha) 7)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ beta (pow beta 7)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 6) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (pow beta 6) beta) into (pow beta 7) * [misc]backup-simplify: Simplify (/ 1 (pow beta 7)) into (/ 1 (pow beta 7)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 6) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 6) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* (pow beta 6) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 6) 1) (* (* 6 (pow beta 5)) 0)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 5) (pow beta 6)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 3)) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4)))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 5) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* (pow beta 5) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 1) (* (* 5 (pow beta 4)) 0)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 5)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 2) (pow (+ beta alpha) 4)) (/ (pow beta 2) (pow (+ beta alpha) 4))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (+ beta alpha) 4)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 4)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha)) (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2)))) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* (* 4 (pow beta 3)) 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 4)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2)))) (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ beta alpha) 5) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 5) 1) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 5) (pow beta 5)) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 4) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 4) (pow beta 6)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* (* 3 (pow beta 2)) 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 3)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) beta) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 6 (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7))) in alpha * [misc]taylor: Taking taylor expansion of 6 in alpha * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (pow (+ beta alpha) 7)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 7)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (* (pow (+ beta alpha) 7) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 6) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* (pow beta 7) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 5))) (* 1 (pow beta 6))) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) 1) (* (* 7 (pow beta 6)) 0)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ (pow beta 6) (pow beta 7)) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 6)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ beta (pow beta 6)) into (/ 1 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 6 (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7))) in alpha * [misc]taylor: Taking taylor expansion of 6 in alpha * [misc]backup-simplify: Simplify 6 into 6 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (pow (+ beta alpha) 7)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ (pow beta 3) (pow beta 7)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (* (pow (+ beta alpha) 5) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 5) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 5) (pow beta 2)) into (pow beta 7) * [misc]backup-simplify: Simplify (/ 1 (pow beta 7)) into (/ 1 (pow beta 7)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 6) (* (pow (+ beta alpha) 7) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 6) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 7) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 7) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* (pow beta 7) beta) into (pow beta 8) * [misc]backup-simplify: Simplify (/ 1 (pow beta 8)) into (/ 1 (pow beta 8)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 4) (pow (+ beta alpha) 6))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (pow (+ beta alpha) 6)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 6) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (/ 1 (pow beta 6)) into (/ 1 (pow beta 6)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ (pow beta 2) (pow beta 5)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (pow (+ beta alpha) 5)) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 5) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ beta (pow beta 5)) into (/ 1 (pow beta 4)) * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) beta) into (pow beta 4) * [misc]backup-simplify: Simplify (/ 1 (pow beta 4)) into (/ 1 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* 0 0) (* 0 (pow beta 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 (pow beta 2))) (* (* 3 (pow beta 2)) (pow beta 3))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 5))) (* 1 (pow beta 6))) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta (* 15 (pow beta 4))) (+ (* 1 (* 6 (pow beta 5))) (* 0 (pow beta 6)))) into (* 21 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) 0) (+ (* (* 7 (pow beta 6)) 0) (* (* 21 (pow beta 5)) 1))) into (* 21 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 6))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 7) 0) (* (* 7 (pow beta 6)) 1)) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 7)) (+ (* 1 (/ (* 7 (pow beta 6)) (pow beta 7))))) into (- (* 7 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 7)) (+ (* 1 (/ (* 21 (pow beta 5)) (pow beta 7))) (* (- (* 7 (/ 1 beta))) (/ (* 7 (pow beta 6)) (pow beta 7))))) into (* 28 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* (pow beta 6) 0) (+ (* (* 6 (pow beta 5)) 1) (* (* 15 (pow beta 4)) 0))) into (* 6 (pow beta 5)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 6)) (+ (* (/ 1 beta) (/ (* 6 (pow beta 5)) (pow beta 6))))) into (- (* 6 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* (* 3 (pow beta 2)) 0) (* (* 3 beta) 1))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* (* 3 (pow beta 2)) 1)) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 3)) (+ (* 1 (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 3)) (+ (* 1 (/ (* 3 beta) (pow beta 3))) (* (- (* 3 (/ 1 beta))) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (* 6 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 0) (+ (* (* 5 (pow beta 4)) 1) (* (* 10 (pow beta 3)) 0))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 5)) (+ (* (/ 1 beta) (/ (* 5 (pow beta 4)) (pow beta 5))))) into (- (* 5 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (- (* 5 (/ 1 (pow beta 2))))) (* 0 (/ 1 beta))) into (- (* 20 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (- (* 20 (/ 1 (pow beta 2)))) (/ 1 (pow beta 2))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 6 (/ 1 (pow beta 2))) (- (* 19 (/ 1 (pow beta 2))))) into (- (* 13 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (- (* 6 (/ 1 (pow beta 2)))) (- (* 13 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 19 (/ 1 (pow beta 2))))) into (- (* 19 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 28 (/ 1 (pow beta 2))) (- (* 19 (/ 1 (pow beta 2))))) into (* 9 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (* 9 (/ 1 (pow beta 2)))) into (* 9 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 0) (+ (* (* 4 (pow beta 3)) 1) (* (* 6 (pow beta 2)) 0))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 4)) (+ (* (/ 1 beta) (/ (* 4 (pow beta 3)) (pow beta 4))))) into (- (* 4 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta (* 4 (pow beta 3))) (* 1 (pow beta 4))) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta (* 6 (pow beta 2))) (+ (* 1 (* 4 (pow beta 3))) (* 0 (pow beta 4)))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 0) (+ (* (* 5 (pow beta 4)) 0) (* (* 10 (pow beta 3)) 1))) into (* 10 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 5) 0) (* (* 5 (pow beta 4)) 1)) into (* 5 (pow beta 4)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 5)) (+ (* 1 (/ (* 5 (pow beta 4)) (pow beta 5))))) into (- (* 5 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 5)) (+ (* 1 (/ (* 10 (pow beta 3)) (pow beta 5))) (* (- (* 5 (/ 1 beta))) (/ (* 5 (pow beta 4)) (pow beta 5))))) into (* 15 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* 2 (* 15 (/ 1 (pow beta 2)))) (+ (* 0 (- (* 5 (/ 1 beta)))) (* 0 1))) into (* 30 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (pow beta 2))) into (/ 2 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* (* 3 (pow beta 2)) 1) (* (* 3 beta) 0))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 3)) (+ (* (/ 1 beta) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 3 beta)) (+ (* (* 3 (pow beta 2)) (* 3 (pow beta 2))) (* (* 3 beta) (pow beta 3)))) into (* 15 (pow beta 4)) * [misc]backup-simplify: Simplify (+ (* beta (* 15 (pow beta 4))) (+ (* 1 (* 6 (pow beta 5))) (* 0 (pow beta 6)))) into (* 21 (pow beta 5)) * [misc]backup-simplify: Simplify (+ (* (pow beta 7) 0) (+ (* (* 7 (pow beta 6)) 1) (* (* 21 (pow beta 5)) 0))) into (* 7 (pow beta 6)) * [misc]backup-simplify: Simplify (- (/ 0 (pow beta 7)) (+ (* (/ 1 beta) (/ (* 7 (pow beta 6)) (pow beta 7))))) into (- (* 7 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 7 (/ 1 (pow beta 2))))) (* 0 (/ 1 beta))) into (- (* 21 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (- (* 21 (/ 1 (pow beta 2)))) 0) into (- (* 21 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 21 (/ 1 (pow beta 2))))) into (- (* 21 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 21 (/ 1 (pow beta 2))))) into (- (* 21 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (- (* 3 (/ 1 (pow beta 2)))) (- (* 21 (/ 1 (pow beta 2))))) into (- (* 24 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (/ 2 (pow beta 2)) (- (* 24 (/ 1 (pow beta 2))))) into (- (* 22 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 30 (/ 1 (pow beta 2))) (- (* 22 (/ 1 (pow beta 2))))) into (* 8 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (- (* 4 (/ 1 (pow beta 2)))) (* 8 (/ 1 (pow beta 2)))) into (* 4 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 4 (/ 1 (pow beta 2)))) into (- (* 4 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* 9 (/ 1 (pow beta 2))) (- (* 4 (/ 1 (pow beta 2))))) into (* 5 (/ 1 (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 5 in beta * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (* 1 (* alpha i))) (* 1 (pow (* 1 (* 1 i)) 2))) into (+ (* i alpha) (pow i 2)) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 alpha) (/ 1 i)))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 beta) (/ 1 i)))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 1) (+ (* 4 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 4) (+ (* 1/4 (/ 0 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 beta)) into (/ 1/4 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 beta)) into (* 1/4 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1) (+ (* 4 (/ (/ 1 (* beta alpha)) 1)) (* 0 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (pow beta 2)))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/16 (/ 1 (pow beta 2))))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/16 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (pow (* 1 (* 1 (/ 1 (/ 1 i)))) 2)) into (* 1/4 (pow i 2)) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 alpha) (/ 1 i))) into (/ 1 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 alpha) (/ 1 i)))) into (/ (+ (/ 1 alpha) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (/ 1 (+ (/ 1 beta) (/ 1 i))) into (/ 1 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ 1 (+ (/ 1 beta) (/ 1 i)))) into (/ (+ (/ 1 beta) (/ 1 i)) i) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 4 1) into 4 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 4) into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 1) (+ (* 4 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 4) (+ (* 1/4 (/ 0 4)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/4 (/ 1 beta)) into (/ 1/4 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/4 beta)) into (* 1/4 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/4 in beta * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1) (+ (* 4 (/ (/ 1 (* beta alpha)) 1)) (* 0 (/ (+ (/ 1 alpha) (/ 1 beta)) 1)))) into (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 4) (+ (* 1/4 (/ (- (+ (/ 1 (pow beta 2)) (/ 1 (pow alpha 2))) (* 2 (/ 1 (* beta alpha)))) 4)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 4)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (pow beta 2)))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/16 (/ 1 (pow beta 2))))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/16 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/4 (pow (* 1 (* 1 (/ 1 (/ 1 (- i))))) 2)) into (* 1/4 (pow i 2)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]taylor: Taking taylor expansion of (pow (+ (* 2 i) beta) 2) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 i) beta) in beta * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ (* 2 i) 0) into (* 2 i) * [misc]backup-simplify: Simplify (* (* 2 i) (* 2 i)) into (* 4 (pow i 2)) * [misc]taylor: Taking taylor expansion of (* 4 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 1) (* 1 (+ (* 2 i) beta))) into (+ (* 4 i) (* 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 i) (* 2 beta)) in beta * [misc]taylor: Taking taylor expansion of (* 4 i) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* 2 beta) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 i) into (* 4 i) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 4 i) 0) into (* 4 i) * [misc]taylor: Taking taylor expansion of (* 4 i) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 1) (* 1 (* 2 i))) into (* 4 i) * [misc]taylor: Taking taylor expansion of (* 4 i) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 4 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ (* 2 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2 i) beta)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (* 2 i) 0) (+ (* 1 1) (* 0 (* 2 i)))) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (* beta 1)) 2)) (+ (* 2 (* 1 (* beta alpha))) (* 1 (pow (* 1 (* 1 alpha)) 2)))) into (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) * [misc]approximate: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 2 (/ 1 i)) into (/ 2 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 2 i)) into (+ (/ 1 beta) (* 2 (/ 1 i))) * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* (+ (/ 1 beta) (* 2 (/ 1 i))) 1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i beta))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) 0) (+ (* 0 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 i))) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ 0 (/ 4 i)) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)) (* 0 (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (+ (/ 1 beta) (* 2 (/ 1 i))) 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 beta) (* 2 (/ 1 i)))) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow i 2))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* (/ 1 (/ 1 i)) (* 1 (/ 1 (/ 1 alpha))))) (+ (* 4 (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 beta)) 1))) (* 4 (pow (* (/ 1 (/ 1 i)) (* 1 1)) 2)))) into (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * [misc]approximate: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in (alpha beta i) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 (/ -1 i)) into (/ -2 i) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) (/ -2 i)) into (- (+ (/ 1 beta) (* 2 (/ 1 i)))) * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) -1)) into (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 beta)) (* 4 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1))) into (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow beta 2)) (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ 1 (* i beta))) (* 4 (/ 1 (pow i 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (* i beta))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (* i beta)) in beta * [misc]taylor: Taking taylor expansion of (* i beta) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in beta * [misc]taylor: Taking taylor expansion of (pow i 2) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of 1 in i * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) 0) (+ (* 0 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ (/ 4 i) 0) into (* 4 (/ 1 i)) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 i))) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 i)) into (/ 4 i) * [misc]backup-simplify: Simplify (+ 0 (/ 4 i)) into (* 4 (/ 1 i)) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))) (* 0 (/ 0 (- beta))) (* 0 (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))) (* 0 (/ 0 (- i))) (* 0 (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (+ (/ 1 beta) (* 2 (/ 1 i)))) 0) (+ (* 0 0) (+ (* 0 (- (+ (/ 1 beta) (* 2 (/ 1 i))))) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow i 2))) into (/ 4 (pow i 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 4 (pow i 2))) into (* 4 (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (* 4 (/ 1 (pow i 2)))) into (* 4 (/ 1 (pow i 2))) * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of 4 in i * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* 4 0) (* 0 (/ 1 i))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (* 4 1) into 4 * [misc]backup-simplify: Simplify 4 into 4 * [misc]backup-simplify: Simplify (+ (* 4 (* (/ 1 (/ 1 (- i))) (* 1 (/ 1 (/ 1 (- alpha)))))) (+ (* 4 (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- beta))) 1))) (* 4 (pow (* (/ 1 (/ 1 (- i))) (* 1 1)) 2)))) into (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 2 i) (+ beta alpha))) (- (log (+ (* 2 i) (+ beta alpha))) (log (* (+ alpha i) (+ beta i))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (exp (+ (log (+ (* 2 i) (+ beta alpha))) (- (log (+ (* 2 i) (+ beta alpha))) (log (* (+ alpha i) (+ beta i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 3 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (- (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha)))) (log (+ (* (+ alpha i) i) (* beta (+ alpha i))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (exp (- (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha)))) (log (+ (* (+ alpha i) i) (* beta (+ alpha i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 4 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (419 enodes) * [exit]simplify: Simplified to (/ (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3)) (pow (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)) 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (cbrt (/ (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3)) (pow (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)) 3)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 7 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (392 enodes) * [exit]simplify: Simplified to (pow (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* i (+ beta alpha)) (+ (* i i) (* alpha beta)))) 3) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (cbrt (pow (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* i (+ beta alpha)) (+ (* i i) (* alpha beta)))) 3))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 8 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (147 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))) (cbrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))) (cbrt (* (+ beta i) (+ alpha i)))) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))) (cbrt (* (+ beta i) (+ alpha i)))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 13 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 14 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (* 2 i) (+ beta alpha)) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (* (+ beta i) (+ alpha i))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (* 2 i) (+ beta alpha)) (/ (+ (* 2 i) (+ beta alpha)) (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 15 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (cbrt (* (+ i beta) (+ alpha i))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (* (+ i beta) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 19 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (sqrt (* (+ i beta) (+ alpha i))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (* (+ i beta) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 20 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (+ alpha i) (+ i beta)) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 21 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (* 2 i) (+ beta alpha)) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 22 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3))) (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 23 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (- (* (- beta i) alpha) (* i (+ i beta))) * [misc]simplify: Simplified (2 1 2 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))))) (- (* (- beta i) alpha) (* i (+ i beta))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 24 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 25 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 26 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 27 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 28 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (+ (pow (+ beta alpha) 3) (* (* 8 i) (* i i))) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (pow (+ beta alpha) 3) (* (* 8 i) (* i i))) (+ (* 2 i) (+ beta alpha))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 29 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * [exit]simplify: Simplified to (* (+ (+ beta alpha) (* i -2)) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ beta alpha) (* i -2)) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (- (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 30 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 31 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (- (+ alpha beta) (* 2 i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 32 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* i (+ (+ alpha beta) i))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ alpha beta) i) i)) (log (+ (+ alpha beta) (* 2 i)))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ alpha beta) i) i)) (log (+ (+ alpha beta) (* 2 i)))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))))) * * * * [misc]progress: [ 34 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* i (+ (+ alpha beta) i))) (- (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ alpha i) beta) i)) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ alpha i) beta) i)) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) * * * * [misc]progress: [ 35 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (* i (+ (+ alpha beta) i))) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ alpha i) beta) i)) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ alpha i) beta) i)) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 36 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (log (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 37 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * [exit]simplify: Simplified to (* (/ (/ (pow (* (+ beta (+ alpha i)) i) 3) (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (/ (pow (* (+ beta (+ alpha i)) i) 3) (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 40 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * [exit]simplify: Simplified to (* (/ (* (* (+ alpha (+ i beta)) i) (* (+ alpha (+ i beta)) i)) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3)) (/ (* (+ alpha (+ i beta)) i) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (* (* (+ alpha (+ i beta)) i) (* (+ alpha (+ i beta)) i)) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3)) (/ (* (+ alpha (+ i beta)) i) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3)))))) * * * * [misc]progress: [ 41 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (417 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (+ (+ alpha i) beta) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (* (* (+ (+ alpha i) beta) i) (* (+ (+ alpha i) beta) i)) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (/ (* (+ (+ alpha i) beta) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (* (* (+ (+ alpha i) beta) i) (* (+ (+ alpha i) beta) i)) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))))) * * * * [misc]progress: [ 42 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (pow (/ (/ (* (+ (+ i beta) alpha) i) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (pow (/ (/ (* (+ (+ i beta) alpha) i) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) 3))) * * * * [misc]progress: [ 43 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 48 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) (* i 2))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) (* i 2))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) (* i 2)))))) (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 49 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (* (cbrt (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))))) (cbrt (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))))) (cbrt (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (* (+ (+ alpha i) beta) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))))))) (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * * * * [misc]progress: [ 50 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (+ alpha beta) (* i 2))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (/ (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (+ (+ alpha beta) (* i 2))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 51 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 52 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (sqrt (/ (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))))) (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) 1) (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * * * * [misc]progress: [ 53 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))))) * * * * [misc]progress: [ 54 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))))) * * * * [misc]progress: [ 55 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))))) * * * * [misc]progress: [ 56 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))))) * * * * [misc]progress: [ 57 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))))) * * * * [misc]progress: [ 58 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (425 enodes) * [exit]simplify: Simplified to (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))))) * * * * [misc]progress: [ 59 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (cbrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 60 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) i) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) i) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 61 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (* (+ i beta) (+ alpha i))))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (cbrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (* (+ i beta) (+ alpha i))))) (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (cbrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))) * * * * [misc]progress: [ 62 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 63 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 64 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* 2 i)) i)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* 2 i)) i)) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* 2 i)) i)) (/ (/ (+ beta (+ i alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))) * * * * [misc]progress: [ 65 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 66 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 67 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ i (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (* (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * * * * [misc]progress: [ 68 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))) (/ (+ i (+ beta alpha)) (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))) (/ (+ i (+ beta alpha)) (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 69 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (/ i (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (/ (* (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))) (/ (+ i (+ beta alpha)) (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))) (/ (+ i (+ beta alpha)) (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 70 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to i * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* i (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* i (/ (/ (+ i (+ beta alpha)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) * * * * [misc]progress: [ 71 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (+ i (+ beta alpha)) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 72 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (+ i (+ beta alpha)) (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 73 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (457 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (/ (* (+ i (+ beta alpha)) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 74 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (pow (* (+ alpha (+ i beta)) i) 3) (pow (* beta alpha) 3)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (+ (+ (* (* (* alpha beta) (- i)) (+ i (+ beta alpha))) (* (* alpha beta) (* alpha beta))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha)))))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (+ (+ (* (* (* alpha beta) (- i)) (+ i (+ beta alpha))) (* (* alpha beta) (* alpha beta))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha)))))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 75 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (* i (+ (pow (* (+ beta (+ alpha i)) i) 3) (pow (* beta alpha) 3))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (+ (pow (* (+ beta (+ alpha i)) i) 3) (pow (* beta alpha) 3))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))))) (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (285 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (+ (+ (* (* (* alpha beta) (- i)) (+ i (+ beta alpha))) (* (* alpha beta) (* alpha beta))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha)))))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (+ (+ (* (* (* alpha beta) (- i)) (+ i (+ beta alpha))) (* (* alpha beta) (* alpha beta))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha)))))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 76 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (* (+ (pow (* (+ beta (+ alpha i)) i) 3) (pow (* beta alpha) 3)) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (+ (pow (* (+ beta (+ alpha i)) i) 3) (pow (* beta alpha) 3)) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)) (- (* (* i (+ (+ i alpha) beta)) (* i (+ (+ i alpha) beta))) (- (* (+ (+ i alpha) beta) (* i (* alpha beta))) (* (* alpha beta) (* alpha beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (+ (pow (* (+ beta (+ alpha i)) i) 3) (pow (* beta alpha) 3)) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ i alpha) beta) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)) (- (* (* i (+ (+ i alpha) beta)) (* i (+ (+ i alpha) beta))) (- (* (+ (+ i alpha) beta) (* i (* alpha beta))) (* (* alpha beta) (* alpha beta))))))) * * * * [misc]progress: [ 77 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (/ (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)) (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 78 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0))))) * * * * [misc]progress: [ 79 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (- (- (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i i)) (* (+ beta alpha) i))) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) 1) (/ (/ (+ i (+ beta alpha)) (- (- (* alpha beta) (* i i)) (* (+ beta alpha) i))) (- (* (+ (* i 2) (+ beta alpha)) (+ (* i 2) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 80 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ 1 (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ 1 (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ i (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 81 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ 1 (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ i (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (* (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)) (+ (+ alpha beta) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 82 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* 1 (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (* (* (+ alpha (+ i beta)) i) (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* 1 (/ (* (* (+ alpha (+ i beta)) i) (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 83 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ (+ alpha beta) i) i) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ (+ alpha beta) i) i) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (+ (+ alpha beta) i)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 84 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (484 enodes) * [exit]simplify: Simplified to (/ (* (+ (+ alpha i) beta) i) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ (+ alpha i) beta) i) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (+ (+ alpha beta) i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 85 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * [exit]simplify: Simplified to (* (+ (+ i beta) alpha) i) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (+ (+ i beta) alpha) i) (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (+ (+ i beta) alpha) i) (/ (/ (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 86 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ beta (+ alpha i)) i) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ beta (+ alpha i)) i) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (/ (+ (* alpha (+ i beta)) (* i (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ (* alpha (+ i beta)) (* i (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 87 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (/ (+ (* alpha (+ i beta)) (* i (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (* alpha (+ i beta)) (* i (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * * * * [misc]progress: [ 88 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (/ (+ (* beta (+ alpha i)) (* i (+ alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (/ (+ (* beta (+ alpha i)) (* i (+ alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * * * [misc]progress: [ 89 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 93 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0)))) * * * * [misc]progress: [ 94 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (398 enodes) * [exit]simplify: Simplified to (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) 1) (- (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 95 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2))))) (cbrt (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (cbrt (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2))))) (cbrt (* (* (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2)))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 96 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (sqrt (* (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (sqrt (* (* (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) (/ i (+ (+ alpha beta) (* i 2))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 97 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 98 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 99 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (* (+ alpha i) (+ i beta)))) (cbrt (* (+ alpha i) (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (* (+ alpha i) (+ i beta)))) (cbrt (* (+ alpha i) (+ i beta)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 100 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 101 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ i (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ i (+ (+ alpha beta) (* 2 i))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) * * * * [misc]progress: [ 102 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to i * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ i (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) * * * * [misc]progress: [ 103 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) * * * * [misc]progress: [ 104 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (+ (pow (* (+ (+ alpha i) beta) i) 3) (pow (* beta alpha) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (+ (pow (* (+ (+ alpha i) beta) i) 3) (pow (* beta alpha) 3))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))))))) * * * * [misc]progress: [ 105 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * * * [misc]progress: [ 106 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* i (+ (+ alpha beta) i)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (* (+ (+ alpha beta) i) i) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ (+ alpha beta) i) i) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ 1 (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) * * * * [misc]progress: [ 108 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (439 enodes) * [exit]simplify: Simplified to (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (/ (* (+ beta (+ alpha i)) i) (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * * * [misc]progress: [ 109 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* 1.0 1.0) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (+ (* 1.0 (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (+ (* 1.0 1.0) (pow (+ (* 2 i) (+ beta alpha)) 4))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (pow (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 3) (pow 1.0 3))) (+ (* 1.0 (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (+ (* 1.0 1.0) (pow (+ (* 2 i) (+ beta alpha)) 4))))) * * * * [misc]progress: [ 110 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (364 enodes) * [exit]simplify: Simplified to (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* 1.0 1.0))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 111 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* i (+ (+ alpha beta) i)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * [exit]simplify: Simplified to (* (+ (+ alpha beta) i) i) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ (+ alpha beta) i) i) (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * * * [misc]progress: [ 112 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* i (+ (+ alpha beta) i))) (- (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (+ (- (log (* (+ i beta) (+ alpha i))) (log (+ (+ alpha beta) (* 2 i)))) (- (log (* (+ (+ alpha i) beta) i)) (log (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (+ (- (log (* (+ i beta) (+ alpha i))) (log (+ (+ alpha beta) (* 2 i)))) (- (log (* (+ (+ alpha i) beta) i)) (log (+ (+ alpha beta) (* 2 i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 114 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* i (+ (+ alpha beta) i))) (- (log (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (log (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (+ (log (+ (* beta (+ alpha i)) (* i (+ alpha i)))) (- (log (* (+ (+ i beta) alpha) i)) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (+ (log (+ (* beta (+ alpha i)) (* i (+ alpha i)))) (- (log (* (+ (+ i beta) alpha) i)) (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 115 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* i (+ (+ alpha beta) i))) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (467 enodes) * [exit]simplify: Simplified to (- (log (* (+ (+ i beta) alpha) i)) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (exp (- (log (* (+ (+ i beta) alpha) i)) (log (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 116 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * [exit]simplify: Simplified to (/ (pow (* (+ beta (+ alpha i)) i) 3) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (/ (pow (* (+ beta (+ alpha i)) i) 3) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 119 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * [exit]simplify: Simplified to (/ (pow (* (+ (+ i beta) alpha) i) 3) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (/ (pow (* (+ (+ i beta) alpha) i) 3) (/ (* (pow (+ (+ alpha beta) (* i 2)) 3) (pow (+ (+ alpha beta) (* i 2)) 3)) (pow (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))) 3)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 120 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (pow (* (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (cbrt (pow (* (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) 3)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 121 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (417 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (/ (/ i (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (/ (+ beta (+ i alpha)) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* beta (+ i alpha)) (* i (+ i alpha)))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ beta (+ i alpha)) (cbrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* beta (+ i alpha)) (* i (+ i alpha))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 126 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (414 enodes) * [exit]simplify: Simplified to (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (/ (+ beta (+ i alpha)) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* beta (+ i alpha)) (* i (+ i alpha)))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ beta (+ i alpha)) (sqrt (/ (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) (+ (* beta (+ i alpha)) (* i (+ i alpha))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 127 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (* (+ alpha i) (+ i beta)))) (cbrt (* (+ alpha i) (+ i beta)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (* (+ alpha i) (+ i beta)))) (cbrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (* (+ beta i) (+ i alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (* (+ alpha i) (+ i beta)))) (cbrt (* (+ alpha i) (+ i beta)))) (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (* (+ beta i) (+ i alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 128 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 129 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (+ (+ alpha beta) (* 2 i)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ i (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (* (+ (* i (+ beta i)) (* alpha (+ beta i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (* (+ (* i (+ beta i)) (* alpha (+ beta i))) (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 130 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to i * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* i (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (+ (+ beta alpha) (* i 2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* i (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 131 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (315 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * [exit]simplify: Simplified to (* (+ (* beta (+ i alpha)) (* i (+ i alpha))) (+ (+ i alpha) beta)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (* beta (+ i alpha)) (* i (+ i alpha))) (+ (+ i alpha) beta))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 132 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (+ (pow (* (+ (+ alpha i) beta) i) 3) (pow (* beta alpha) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (+ (pow (* (+ (+ alpha i) beta) i) 3) (pow (* beta alpha) 3))) (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (+ (+ (* (* alpha beta) (* alpha beta)) (* (+ i (+ beta alpha)) (* (- i) (* alpha beta)))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha)))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (/ (+ i (+ beta alpha)) (+ (+ (* (* alpha beta) (* alpha beta)) (* (+ i (+ beta alpha)) (* (- i) (* alpha beta)))) (* (* i (+ i (+ beta alpha))) (* i (+ i (+ beta alpha))))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 133 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (* (* (* (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)) (- (- (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ alpha beta) i) (- (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (- (* alpha (- beta i)) (* (+ beta i) i))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (/ (+ i (+ beta alpha)) (- (* alpha (- beta i)) (* (+ beta i) i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 134 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 135 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 136 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 137 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ beta i) i) (* alpha (+ beta i))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (* (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ beta i) i) (* alpha (+ beta i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 138 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ beta i) i) (* alpha (+ beta i))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (sqrt (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ beta i) i) (* alpha (+ beta i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 139 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 140 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 141 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ alpha beta) (* 2 i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (/ (+ (* 2 i) (+ beta alpha)) (* (+ beta i) (+ alpha i))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) 1)) (/ (+ (* 2 i) (+ beta alpha)) (* (+ beta i) (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 142 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ alpha i) i) (* beta (+ alpha i)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) 1) (/ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ alpha i) i) (* beta (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 143 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ alpha i)) (+ beta i)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ 1 (+ alpha i)) (+ beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 144 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* beta alpha) (* beta alpha)) (- (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* (* beta alpha) (* i (+ (+ alpha beta) i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (pow (* beta alpha) 3) (pow (* i (+ (+ alpha beta) i)) 3)))) (+ (* (* (+ (+ beta i) alpha) i) (* (+ (+ beta i) alpha) i)) (+ (* (+ (+ beta i) alpha) (* (* beta alpha) (- i))) (* (* beta alpha) (* beta alpha))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 145 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (401 enodes) * [exit]simplify: Simplified to (- (* (- beta i) alpha) (* i (+ i beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (- (* (* beta alpha) (* beta alpha)) (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i)))))) (- (* (- beta i) alpha) (* i (+ i beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 146 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* beta alpha) (* i (+ (+ alpha beta) i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (* (+ alpha i) (+ i beta)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (* (/ (* i (+ (+ alpha beta) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ alpha i) (+ i beta))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 148 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* i (+ (pow (+ alpha beta) 3) (pow i 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (+ (* (* (+ alpha beta) i) (* (+ alpha beta) (+ alpha beta))) (pow i 4)) (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* i i) (* (+ alpha beta) i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 149 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta i) (/ (/ (* i (- (* (+ alpha beta) (+ alpha beta)) (* i i))) (* (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (- (+ alpha beta) i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 150 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (pow (+ (* 2 i) (+ beta alpha)) (+ 1 1)) 1.0))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 2 * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (pow (+ (+ alpha beta) (* 2 i)) 2) 1.0))) * * * * [misc]progress: [ 151 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (pow (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) 1) 1.0))) * * * * [misc]progress: [ 152 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 153 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (pow (+ (* 2 i) (+ beta alpha)) (+ 1 1)) 1.0))) * * * * [misc]progress: [ 154 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 155 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (+ alpha beta) (* 2 i))) (log (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (exp (+ (log (+ (* 2 i) (+ beta alpha))) (log (+ (* 2 i) (+ beta alpha))))) 1.0))) * * * * [misc]progress: [ 156 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (cbrt (* (pow (+ (* 2 i) (+ beta alpha)) 3) (pow (+ (* 2 i) (+ beta alpha)) 3))) 1.0))) * * * * [misc]progress: [ 159 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3)) (+ (* (* i 8) (* i i)) (pow (+ beta alpha) 3))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))))) 1.0))) * * * * [misc]progress: [ 163 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (- (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (* 2 i)))) (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i)))) 1.0))) * [enter]simplify: Simplifying (* (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) (* -2 i)))) 1.0))) * * * * [misc]progress: [ 164 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* (+ beta alpha) (+ beta alpha)) (* (* i -4) i))) (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (* (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) (+ (* -2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 165 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (388 enodes) * [exit]simplify: Simplified to (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i)))) 1.0))) * [enter]simplify: Simplifying (* (- (+ alpha beta) (* 2 i)) (- (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * [exit]simplify: Simplified to (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i))) (+ (* (+ beta alpha) (+ beta alpha)) (* -4 (* i i)))) (* (+ (* i -2) (+ beta alpha)) (+ (* i -2) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 166 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 167 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (+ alpha beta) (* 2 i)) (* 2 i)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (* 2 i) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (+ (* (+ (+ alpha beta) (* 2 i)) (+ alpha beta)) (* (* 2 i) (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 168 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 i) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (* (+ (+ alpha beta) (* 2 i)) (* 2 i)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (+ (* (+ alpha beta) (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (* 2 i))) 1.0))) * * * * [misc]progress: [ 169 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (cbrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 170 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (* 2 i) (+ beta alpha)))) 1.0))) * * * * [misc]progress: [ 171 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (* 2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* (+ (+ alpha beta) (* 2 i)) 1) (+ (* 2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 172 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1.0))) * * * * [misc]progress: [ 173 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (sqrt (+ (* 2 i) (+ beta alpha))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) 1.0))) * * * * [misc]progress: [ 174 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (343 enodes) * [exit]simplify: Simplified to (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (+ alpha beta) (* 2 i)) (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3))) (+ (* (+ beta alpha) (+ beta alpha)) (* (* 2 i) (- (* 2 i) (+ beta alpha))))) 1.0))) * * * * [misc]progress: [ 176 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 i)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (+ (* -2 i) (+ beta alpha)) * [misc]simplify: Simplified (2 2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (+ alpha beta) (* 2 i)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i)))) (+ (* -2 i) (+ beta alpha))) 1.0))) * * * * [misc]progress: [ 177 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow (+ alpha beta) 3) (pow (* 2 i) 3)) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * [exit]simplify: Simplified to (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (* (* 8 i) (* i i)) (pow (+ beta alpha) 3)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 i) (* 2 i)) (* (+ alpha beta) (* 2 i))))) 1.0))) * * * * [misc]progress: [ 178 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 i) (* 2 i))) (+ (+ alpha beta) (* 2 i))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (/ (* (+ (+ beta alpha) (* -2 i)) (* (+ (+ beta alpha) (* 2 i)) (+ (+ beta alpha) (* 2 i)))) (- (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 179 / 191 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying 4 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 4 * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) 4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 181 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ beta alpha) (+ 2 (/ alpha beta))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ 2 (+ (/ beta alpha) (/ alpha beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (+ 2 (+ (/ beta alpha) (/ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 182 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ beta alpha) (+ 2 (/ alpha beta))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ 2 (+ (/ beta alpha) (/ alpha beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (+ 2 (+ (/ beta alpha) (/ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 183 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1.0 (* i alpha)) (+ (* 1.0 (pow i 4)) (* 1.0 (pow i 2))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (295 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (- (* (- 1.0) (pow i 4)) (* (+ i alpha) (* 1.0 i))) * [misc]simplify: Simplified (2) to (λ (alpha beta i) (- (* (- 1.0) (pow i 4)) (* (+ i alpha) (* 1.0 i)))) * * * * [misc]progress: [ 184 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (alpha beta i) 0) * * * * [misc]progress: [ 185 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (alpha beta i) 0) * * * * [misc]progress: [ 186 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* i alpha) (pow i 2)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (+ alpha i) i) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (+ alpha i) i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 187 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (pow i 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* i i) 1/4) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* i i) 1/4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 188 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/4 (pow i 2)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (* (* i i) 1/4) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (/ (* (* i i) 1/4) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * * * [misc]progress: [ 189 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * [exit]simplify: Simplified to (+ (* beta (* alpha 2)) (+ (* beta beta) (* alpha alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (+ (* beta (* alpha 2)) (+ (* beta beta) (* alpha alpha))) 1.0))) * * * * [misc]progress: [ 190 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* 4 i) (+ beta (+ i alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* 4 i) (+ beta (+ i alpha))) 1.0))) * * * * [misc]progress: [ 191 / 191 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 4 (* i alpha)) (+ (* 4 (pow i 2)) (* 4 (* i beta)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (376 enodes) * [exit]simplify: Simplified to (* (* 4 i) (+ beta (+ i alpha))) * [misc]simplify: Simplified (2 2 1) to (λ (alpha beta i) (/ (/ (* i (+ (+ alpha beta) i)) (/ (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (- (* (* 4 i) (+ beta (+ i alpha))) 1.0))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) in beta * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i alpha))) into (sqrt (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i alpha))) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (+ (pow i 2) (* i alpha))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) alpha) (sqrt (+ (pow i 2) (* i alpha)))) into (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ (* 2 i) alpha)) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (/ (* i (+ i alpha)) (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ (* 2 i) alpha))) into (* (/ (* i (+ i alpha)) (+ (* 2 i) alpha)) (sqrt (+ (pow i 2) (* i alpha)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 i) (+ beta alpha)) in beta * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in beta * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in beta * [misc]taylor: Taking taylor expansion of (+ beta i) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ alpha i) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (sqrt (* i (+ i alpha))) into (sqrt (* i (+ i alpha))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 1 (+ i alpha))) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (* i (+ i alpha))))) into (* 1/2 (sqrt (/ (+ i alpha) i))) * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ 0 alpha) into alpha * [misc]backup-simplify: Simplify (+ (* 2 i) alpha) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) alpha) (sqrt (* i (+ i alpha)))) into (* (sqrt (/ 1 (* i (+ i alpha)))) (+ (* 2 i) alpha)) * [misc]backup-simplify: Simplify (/ (* (/ (* i (+ i alpha)) (+ (* 2 i) alpha)) (sqrt (+ (pow i 2) (* i alpha)))) (* (sqrt (/ 1 (* i (+ i alpha)))) (+ (* 2 i) alpha))) into (* (sqrt (* (pow i 3) (* (+ (pow i 2) (* i alpha)) (pow (+ i alpha) 3)))) (/ 1 (pow (+ (* 2 i) alpha) 2))) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (* (+ (* 2 i) alpha) (+ (* 2 i) alpha)) into (pow (+ (* 2 i) alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) alpha) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (* (sqrt (* (pow i 3) (* (+ (pow i 2) (* i alpha)) (pow (+ i alpha) 3)))) (/ 1 (pow (+ (* 2 i) alpha) 2))) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0)) into (* (sqrt (* (pow i 3) (* (+ (pow i 2) (* i alpha)) (pow (+ i alpha) 3)))) (/ 1 (* (pow (+ (* 2 i) alpha) 2) (- (+ (* 4 (pow i 2)) (+ (pow alpha 2) (* 4 (* i alpha)))) 1.0)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i beta))) into (sqrt (+ (pow i 2) (* i beta))) * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i beta))) into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (/ (+ i beta) (* 2 (sqrt (+ (pow i 2) (* i beta))))) into (* 1/2 (* (+ i beta) (sqrt (/ 1 (+ (pow i 2) (* i beta)))))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) beta) (sqrt (+ (pow i 2) (* i beta)))) into (* (+ (* 2 i) beta) (sqrt (/ 1 (+ (pow i 2) (* i beta))))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (/ (* i (+ i beta)) (* (+ (* 2 i) beta) (sqrt (/ 1 (+ (pow i 2) (* i beta)))))) into (* (/ (* i (+ i beta)) (+ (* 2 i) beta)) (sqrt (+ (pow i 2) (* i beta)))) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 2 i) (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta i) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ alpha i) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (* (+ i beta) i) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (sqrt (* i (+ i beta))) into (sqrt (* i (+ i beta))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ i beta) 1) (* 0 i)) into (+ i beta) * [misc]backup-simplify: Simplify (/ (+ i beta) (* 2 (sqrt (* i (+ i beta))))) into (* 1/2 (sqrt (/ (+ i beta) i))) * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ (* 2 i) beta) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) beta) (sqrt (* i (+ i beta)))) into (* (sqrt (/ 1 (* i (+ i beta)))) (+ (* 2 i) beta)) * [misc]backup-simplify: Simplify (/ (* (/ (* i (+ i beta)) (+ (* 2 i) beta)) (sqrt (+ (pow i 2) (* i beta)))) (* (sqrt (/ 1 (* i (+ i beta)))) (+ (* 2 i) beta))) into (* (sqrt (* (pow i 3) (* (pow (+ i beta) 3) (+ (pow i 2) (* i beta))))) (/ 1 (pow (+ (* 2 i) beta) 2))) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (* (+ (* 2 i) beta) (+ (* 2 i) beta)) into (pow (+ (* 2 i) beta) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ (* 2 i) beta) 2) (- 1.0)) into (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) * [misc]backup-simplify: Simplify (/ (* (sqrt (* (pow i 3) (* (pow (+ i beta) 3) (+ (pow i 2) (* i beta))))) (/ 1 (pow (+ (* 2 i) beta) 2))) (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0)) into (* (sqrt (* (pow i 3) (* (pow (+ i beta) 3) (+ (pow i 2) (* i beta))))) (/ 1 (* (- (+ (* 4 (pow i 2)) (+ (pow beta 2) (* 4 (* i beta)))) 1.0) (pow (+ (* 2 i) beta) 2)))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) in i * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (sqrt (* beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 i) (+ beta alpha)) in i * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in i * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in i * [misc]taylor: Taking taylor expansion of (+ beta i) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ alpha i) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ beta alpha) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (/ (sqrt (* beta alpha)) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* beta alpha) (+ beta alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) in i * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (sqrt (* beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 i) (+ beta alpha)) in i * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in i * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in i * [misc]taylor: Taking taylor expansion of (+ beta i) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ alpha i) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ beta alpha) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (/ (sqrt (* beta alpha)) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (/ (* beta alpha) (+ beta alpha)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* (+ beta alpha) (+ beta alpha)) into (pow (+ beta alpha) 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow (+ beta alpha) 2) (- 1.0)) into (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) * [misc]backup-simplify: Simplify (/ (/ (* beta alpha) (+ beta alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) into (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) beta)) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) * [misc]backup-simplify: Simplify (- (/ 1 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (/ (pow beta 2) (pow (+ beta alpha) 2))) (/ (* beta alpha) (pow (+ beta alpha) 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 2) (* 2 (+ beta alpha))) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (+ (* 4 beta) (* 4 alpha)) 0) into (+ (* 4 beta) (* 4 alpha)) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (/ (pow beta 2) (pow (+ beta alpha) 2))) (/ (* beta alpha) (pow (+ beta alpha) 2))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ (/ 1 (- (pow beta 2) 1.0)) 0) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (pow beta 2) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify -1.0 into -1.0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) 2) (+)) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 alpha))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) 2) (+)) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (/ (pow beta 2) (pow (+ beta alpha) 2))) (/ (* beta alpha) (pow (+ beta alpha) 2))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 3/4 (/ beta (pow (+ beta alpha) 2))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha))) (+ (* 5/2 (/ (* beta alpha) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))) (* 3/4 (/ alpha (pow (+ beta alpha) 2))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) beta))) (+ (* 2 (/ (pow beta 2) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) alpha))) (* 2 (/ (pow alpha 2) (pow (+ beta alpha) 3))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 2) (* 0 (+ beta alpha)))) into 4 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 3/4 (/ beta (pow (+ beta alpha) 2))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha))) (+ (* 5/2 (/ (* beta alpha) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))) (* 3/4 (/ alpha (pow (+ beta alpha) 2))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) beta))) (+ (* 2 (/ (pow beta 2) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) alpha))) (* 2 (/ (pow alpha 2) (pow (+ beta alpha) 3))))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ 4 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (pow beta 2) 1.0)) (* (* 3 (pow beta 2)) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3))) * [misc]backup-simplify: Simplify (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 5/2 in alpha * [misc]backup-simplify: Simplify 5/2 into 5/2 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (- (pow beta 2) 1.0)) (* (* 2 beta) 0)) into (- (pow beta 4) (* 1.0 (pow beta 2))) * [misc]backup-simplify: Simplify (/ (pow beta 2) (- (pow beta 4) (* 1.0 (pow beta 2)))) into (/ (pow beta 2) (- (pow beta 4) (* 1.0 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]backup-simplify: Simplify (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 3/4 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (+ (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0)) (* (* 3 beta) 0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (* 3/4 (- (* 3.0 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) 0) into (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 3/4 (* (- (pow beta 2) 1.0) beta)) (- (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))) into (/ 2 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (+ (* (* 2 beta) (- (pow beta 2) 1.0)) (* 1 0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 4) (* 1.0 (pow beta 2)))) (+ (* (/ (pow beta 2) (- (pow beta 4) (* 1.0 (pow beta 2)))) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (- (pow beta 4) (* 1.0 (pow beta 2))))))) into (- (* 2.0 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 4 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ (* 3/4 (- (* 2.0 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 4 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) (* 0 (/ (pow beta 2) (- (pow beta 4) (* 1.0 (pow beta 2)))))) into (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) 0) into (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ (/ 2 (* (- (pow beta 2) 1.0) beta)) (- (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (- (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (- (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) into (- (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) (- (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ 1 (* (- (pow beta 2) 1.0) beta))))))) into (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 2.25 (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 2.25 in beta * [misc]backup-simplify: Simplify 2.25 into 2.25 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 4) (* 1.0 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (+ (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 4 in beta * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta))))) in beta * [misc]taylor: Taking taylor expansion of (* 15/4 (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 15/4 in beta * [misc]backup-simplify: Simplify 15/4 into 15/4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 7) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 1.5 (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) in beta * [misc]taylor: Taking taylor expansion of 1.5 in beta * [misc]backup-simplify: Simplify 1.5 into 1.5 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 4) (* 1.0 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 5/4 (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta * [misc]taylor: Taking taylor expansion of 5/4 in beta * [misc]backup-simplify: Simplify 5/4 into 5/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.25 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.5 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 5/4 0) (* 0 -1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) 0) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) into (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) * [misc]backup-simplify: Simplify (+ (/ 1 (* (- (pow beta 2) 1.0) beta)) 0) into (/ 1 (* (- (pow beta 2) 1.0) beta)) * [misc]backup-simplify: Simplify (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) into (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) into (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]backup-simplify: Simplify (+ (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (- (+ (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))))) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) * [misc]taylor: Taking taylor expansion of (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) (/ 1 (* (- (pow beta 2) 1.0) beta))) in beta * [misc]taylor: Taking taylor expansion of (* 8 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 8 in beta * [misc]backup-simplify: Simplify 8 into 8 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) beta) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (* 0 0)) into (- 1.0) * [misc]backup-simplify: Simplify (/ 1 (- 1.0)) into -1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 1) (* 1 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (- (pow beta 2) 1.0))) into (- (* 3 (pow beta 2)) 1.0) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) beta)) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 3 (pow beta 2)) 1.0) (* (- (pow beta 2) 1.0) beta))))) into (- (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) beta) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 3 (/ beta (pow (- (pow beta 2) 1.0) 2))) in beta * [misc]taylor: Taking taylor expansion of 3 in beta * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ beta (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 1) (* (- 2.0) 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 (- 1.0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))))))) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))))))) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 1) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))))))) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (/ (* beta alpha) (+ beta alpha)) (/ (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (- (+ (/ (pow alpha 2) (pow (+ beta alpha) 2)) (/ (pow beta 2) (pow (+ beta alpha) 2))) (/ (* beta alpha) (pow (+ beta alpha) 2))) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (- (+ (* 3/4 (/ beta (pow (+ beta alpha) 2))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) alpha))) (+ (* 5/2 (/ (* beta alpha) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) beta))) (* 3/4 (/ alpha (pow (+ beta alpha) 2))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) beta))) (+ (* 2 (/ (pow beta 2) (pow (+ beta alpha) 3))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) alpha))) (* 2 (/ (pow alpha 2) (pow (+ beta alpha) 3))))))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow beta 2)))) (+ (* 9/2 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow beta 2)))) (+ (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow alpha 2)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha))) (+ (* 9/2 (/ (pow beta 2) (pow (+ beta alpha) 4))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow alpha 2)))) (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) beta))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) alpha))) (+ (* 11/2 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2)))) (+ (* 3/2 (/ alpha (pow (+ beta alpha) 3))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2)))) (+ (* 3/2 (/ beta (pow (+ beta alpha) 3))) (+ (* 1/4 (/ 1 (pow (+ beta alpha) 2))) (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta))))))))))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ beta alpha) 0) (+ (* 2 0) (+ (* 0 2) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow beta 2)))) (+ (* 9/2 (/ (pow alpha 2) (pow (+ beta alpha) 4))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (pow beta 2)))) (+ (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow alpha 2)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) alpha))) (+ (* 9/2 (/ (pow beta 2) (pow (+ beta alpha) 4))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (pow alpha 2)))) (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) beta)))))))))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) alpha))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) beta))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) alpha))) (+ (* 11/2 (/ (* beta alpha) (pow (+ beta alpha) 4))) (+ (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow alpha 2)))) (+ (* 3/2 (/ alpha (pow (+ beta alpha) 3))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow beta 2)))) (+ (* 3/2 (/ beta (pow (+ beta alpha) 3))) (+ (* 1/4 (/ 1 (pow (+ beta alpha) 2))) (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) beta))))))))))))) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) (+ (* (/ (* beta alpha) (* (+ beta alpha) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ 0 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (/ (pow beta 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (/ (* beta alpha) (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* 4 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))) (/ 4 (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) (* (- (+ (* 16 (/ (* beta (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 32 (/ (* (pow beta 2) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ beta (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/4 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3/4 (/ alpha (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (* 5/2 (/ (* beta alpha) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))))))))) (+ (* 3/4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 4 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 4 (/ (* beta alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3/4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (* 4 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))))))))))) (/ (+ (* 4 beta) (* 4 alpha)) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))))) into (- (+ (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 3 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))))))))) (+ (* 3/2 (/ alpha (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 3 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))))))))) (+ (* 3/2 (/ alpha (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 3 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5/8 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 5/8 in alpha * [misc]backup-simplify: Simplify 5/8 into 5/8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 1) (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 0)) into (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 2 beta) 0)) into (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) * [misc]backup-simplify: Simplify (/ (pow beta 3) (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4)))) into (/ (pow beta 3) (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 9/2 (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 9/2 in alpha * [misc]backup-simplify: Simplify 9/2 into 9/2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 9/2 (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 9/2 in alpha * [misc]backup-simplify: Simplify 9/2 into 9/2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 5 in alpha * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) beta) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (* (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 6)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 6))) * [misc]taylor: Taking taylor expansion of (+ (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 5 in alpha * [misc]backup-simplify: Simplify 5 into 5 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 21/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 21/8 in alpha * [misc]backup-simplify: Simplify 21/8 into 21/8 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5/8 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) in alpha * [misc]taylor: Taking taylor expansion of 5/8 in alpha * [misc]backup-simplify: Simplify 5/8 into 5/8 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 32 (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 32 in alpha * [misc]backup-simplify: Simplify 32 into 32 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 3) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 21/8 (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 21/8 in alpha * [misc]backup-simplify: Simplify 21/8 into 21/8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (pow beta 2) 1.0)) (* (* 3 (pow beta 2)) 0)) into (- (pow beta 5) (* 1.0 (pow beta 3))) * [misc]backup-simplify: Simplify (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) into (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) * [misc]taylor: Taking taylor expansion of (+ (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))))) in alpha * [misc]taylor: Taking taylor expansion of (* 16 (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (* 0 0)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ beta (pow (- (pow beta 2) 1.0) 3)) * [misc]taylor: Taking taylor expansion of (* 16 (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)))) in alpha * [misc]taylor: Taking taylor expansion of 16 in alpha * [misc]backup-simplify: Simplify 16 into 16 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 3)) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 3) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 3) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) into (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 3) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 3/2 (/ alpha (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/2 (/ alpha (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 3/2 in alpha * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (/ alpha (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) (pow alpha 3)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 2) 1) into (pow beta 2) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ beta (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) beta) into (* (pow (- (pow beta 2) 1.0) 2) beta) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (pow (- (pow beta 2) 1.0) 2) beta)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 4))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 4) alpha) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 4) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (* 0 0)) into (pow beta 4) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 4) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ (pow beta 3) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (- (pow beta 2) 1.0)) (* (* 2 beta) 0)) into (- (pow beta 4) (* 1.0 (pow beta 2))) * [misc]backup-simplify: Simplify (/ beta (- (pow beta 4) (* 1.0 (pow beta 2)))) into (/ beta (- (pow beta 4) (* 1.0 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (+ (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 9/4 (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 9/4 in alpha * [misc]backup-simplify: Simplify 9/4 into 9/4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 4) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (+ (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/2 (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 3/2 in alpha * [misc]backup-simplify: Simplify 3/2 into 3/2 * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3 (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3 in alpha * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 4) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 3) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 1) (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 0)) into (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 3 (pow beta 2)) 0)) into (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) * [misc]backup-simplify: Simplify (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) into (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 2) alpha) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 2) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (* 0 0)) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta)) * [misc]taylor: Taking taylor expansion of (+ (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 11/2 (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 11/2 in alpha * [misc]backup-simplify: Simplify 11/2 into 11/2 * [misc]taylor: Taking taylor expansion of (/ (* beta alpha) (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 4) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 4)) * [misc]backup-simplify: Simplify (/ beta (* (- (pow beta 2) 1.0) (pow beta 4))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 9/4 (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 9/4 in alpha * [misc]backup-simplify: Simplify 9/4 into 9/4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 4) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 4) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) alpha) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 0) into 0 * [misc]backup-simplify: Simplify (* (pow beta 4) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (* (* 2 beta) 0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) (- (pow beta 2) 1.0)) (* (* 4 (pow beta 3)) 0)) into (- (pow beta 6) (* 1.0 (pow beta 4))) * [misc]backup-simplify: Simplify (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) into (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) * [misc]taylor: Taking taylor expansion of (+ (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 192 (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 192 in alpha * [misc]backup-simplify: Simplify 192 into 192 * [misc]taylor: Taking taylor expansion of (/ (* (pow beta 3) (pow alpha 2)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow beta 3) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ alpha (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta))) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) beta) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) beta) into (* (- (pow beta 2) 1.0) beta) * [misc]backup-simplify: Simplify (* (pow beta 2) (* (- (pow beta 2) 1.0) beta)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 3))) * [misc]taylor: Taking taylor expansion of (+ (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 64 (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)))) in alpha * [misc]taylor: Taking taylor expansion of 64 in alpha * [misc]backup-simplify: Simplify 64 into 64 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 4)) (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 4)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 4) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ beta alpha) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 4) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow (- (pow beta 2) 1.0) 2) (pow (- (pow beta 2) 1.0) 2)) into (pow (- (pow beta 2) 1.0) 4) * [misc]backup-simplify: Simplify (* beta (pow (- (pow beta 2) 1.0) 4)) into (* (pow (- (pow beta 2) 1.0) 4) beta) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 4) beta)) into (/ 1 (pow (- (pow beta 2) 1.0) 4)) * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (* beta (pow alpha 2)) (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (* beta (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta 1) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3)) * [misc]backup-simplify: Simplify (/ beta (* (pow (- (pow beta 2) 1.0) 2) (pow beta 3))) into (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 4 (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)))) in alpha * [misc]taylor: Taking taylor expansion of 4 in alpha * [misc]backup-simplify: Simplify 4 into 4 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (pow (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) 2) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (- (pow beta 2) 1.0)) into (pow (- (pow beta 2) 1.0) 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow (- (pow beta 2) 1.0) 2)) into (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) * [misc]backup-simplify: Simplify (/ (pow beta 2) (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) into (/ 1 (pow (- (pow beta 2) 1.0) 2)) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)))) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0))) in alpha * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 2) (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 2) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]taylor: Taking taylor expansion of (+ (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 9/8 (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))))) in alpha * [misc]taylor: Taking taylor expansion of 9/8 in alpha * [misc]backup-simplify: Simplify 9/8 into 9/8 * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) (pow beta 2)) into (* (- (pow beta 2) 1.0) (pow beta 2)) * [misc]backup-simplify: Simplify (* (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 2))) into (* (- (pow beta 2) 1.0) (pow beta 5)) * [misc]backup-simplify: Simplify (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) into (/ 1 (* (- (pow beta 2) 1.0) (pow beta 5))) * [misc]taylor: Taking taylor expansion of (* 9/8 (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 9/8 in alpha * [misc]backup-simplify: Simplify 9/8 into 9/8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* (pow (+ beta alpha) 3) (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]taylor: Taking taylor expansion of (* (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (- (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow beta 2) (+ (pow alpha 2) (* 2 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (+ (pow alpha 2) (* 2 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow beta 2) 0) into (pow beta 2) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (pow beta 2) (- 1.0)) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- (pow beta 2) 1.0) 1) into (- (pow beta 2) 1.0) * [misc]backup-simplify: Simplify (* (pow beta 3) (- (pow beta 2) 1.0)) into (* (- (pow beta 2) 1.0) (pow beta 3)) * [misc]backup-simplify: Simplify (/ (pow beta 3) (* (- (pow beta 2) 1.0) (pow beta 3))) into (/ 1 (- (pow beta 2) 1.0)) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 6 (pow beta 2)) 1.0) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (- (pow beta 2) 1.0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 2))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 6 (pow beta 2)) 1.0) (* (- (pow beta 2) 1.0) (pow beta 2)))) (* (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 2)))))) into (- (+ (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 6 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* 5/8 (- (+ (* 1.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 6 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 16.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 0 (- (* 2.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 4 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 0 (/ 1 (- (pow beta 2) 1.0))))) into (- (+ (* 10 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 2.5 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 0.625 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 15/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 10.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 6 (pow beta 2)) 2.0) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 0) (+ (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 1) (* (- (* 6 (pow beta 2)) 2.0) 0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (- (* 4 (pow beta 3)) (* 4.0 beta))) (+ (* (* 2 beta) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* 1 0))) into (- (+ (* 6 (pow beta 5)) (* 2.0 beta)) (* 8.0 (pow beta 3))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4)))) (+ (* (/ (pow beta 3) (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4)))) (/ (- (+ (* 6 (pow beta 5)) (* 2.0 beta)) (* 8.0 (pow beta 3))) (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))))))) into (- (* 8.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 8.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)))))) (* 0 (/ (pow beta 3) (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4)))))) into (- (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))))) * [misc]backup-simplify: Simplify (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 9/2 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) into (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) * [misc]backup-simplify: Simplify (* 5 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 5 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (* (* 2 beta) (pow beta 2))) into (* 4 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) 1) (+ (* (* 4 (pow beta 3)) (* 2 beta)) (* (* 6 (pow beta 2)) (- (pow beta 2) 1.0)))) into (- (* 15 (pow beta 4)) (* 6.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 4) (* 2 beta)) (* (* 4 (pow beta 3)) (- (pow beta 2) 1.0))) into (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 4))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) (* (- (pow beta 2) 1.0) (pow beta 4)))))) into (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 6 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 4))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 15 (pow beta 4)) (* 6.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 4)))) (* (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 6 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) (* (- (pow beta 2) 1.0) (pow beta 4)))))) into (- (+ (* 6.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 16.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 36 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 15 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 48.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* 6.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 16.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 36 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 15 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 48.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 0 (- (* 4.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 6 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 0 (/ 1 (- (pow beta 2) 1.0))))) into (- (+ (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (+ (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0)) (* (* 3 beta) 0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 5) (* 1.0 (pow beta 3)))) (+ (* (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (- (pow beta 5) (* 1.0 (pow beta 3))))))) into (- (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (* 21/8 (- (* 3.0 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 5 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) (* 0 (/ (pow beta 2) (- (pow beta 5) (* 1.0 (pow beta 3)))))) into (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) 0) into (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)))) * [misc]backup-simplify: Simplify (+ (- (+ (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) (- (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (/ 5 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 15/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (* 16 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 18 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (/ 9/2 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (- (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))))) (- (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 10 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 2.5 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 0.625 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 15/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 10.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 8.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (* 34 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))))) (+ (* 5/2 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 24.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))))))))) into (- (+ (* 3.625 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 10.5 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 44 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (+ (* 25/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 34.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)))))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) (* 2 beta)) (+ (* (* 2 beta) (- (pow beta 2) 1.0)) (* 1 0))) into (- (* 4 (pow beta 3)) (* 2.0 beta)) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 4) (* 1.0 (pow beta 2)))) (+ (* (/ beta (- (pow beta 4) (* 1.0 (pow beta 2)))) (/ (- (* 4 (pow beta 3)) (* 2.0 beta)) (- (pow beta 4) (* 1.0 (pow beta 2))))))) into (- (* 2.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 4 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* 2.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 4 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))) (* 0 (/ beta (- (pow beta 4) (* 1.0 (pow beta 2)))))) into (- (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) * [misc]backup-simplify: Simplify (* 3/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (- (pow beta 2) 1.0)))) into (- (* 6 (pow beta 2)) 2.0) * [misc]backup-simplify: Simplify (+ (* (pow (- (pow beta 2) 1.0) 2) 0) (+ (* (- (* 4 (pow beta 3)) (* 4.0 beta)) 1) (* (- (* 6 (pow beta 2)) 2.0) 0))) into (- (* 4 (pow beta 3)) (* 4.0 beta)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (- (* 4 (pow beta 3)) (* 4.0 beta))) (+ (* (* 3 (pow beta 2)) (- (+ (pow beta 4) 1.0) (* 2.0 (pow beta 2)))) (* (* 3 beta) 0))) into (- (+ (* 3.0 (pow beta 2)) (* 7 (pow beta 6))) (* 10.0 (pow beta 4))) * [misc]backup-simplify: Simplify (- (/ 0 (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) (+ (* (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))) (/ (- (+ (* 3.0 (pow beta 2)) (* 7 (pow beta 6))) (* 10.0 (pow beta 4))) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))))))) into (- (* 10.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 10.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 3.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)))))) (* 0 (/ (pow beta 4) (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5)))))) into (- (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 1) (* 1 0))) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 1) (+ (* (* 2 beta) (* 2 beta)) (* 1 (pow beta 2)))) into (* 6 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (pow beta 4) (* 2 beta)) (+ (* (* 4 (pow beta 3)) (- (pow beta 2) 1.0)) (* (* 6 (pow beta 2)) 0))) into (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) * [misc]backup-simplify: Simplify (- (/ 0 (- (pow beta 6) (* 1.0 (pow beta 4)))) (+ (* (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))) (/ (- (* 6 (pow beta 5)) (* 4.0 (pow beta 3))) (- (pow beta 6) (* 1.0 (pow beta 4))))))) into (- (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) * [misc]backup-simplify: Simplify (+ (* 9/4 (- (* 4.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 6 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) (* 0 (/ (pow beta 3) (- (pow beta 6) (* 1.0 (pow beta 4)))))) into (- (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) * [misc]backup-simplify: Simplify (* 4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) into (/ 4 (pow (- (pow beta 2) 1.0) 2)) * [misc]backup-simplify: Simplify (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) into (/ 1/4 (* (- (pow beta 2) 1.0) (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ (* 2 beta) (* 0 0)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 (* 2 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 beta) 0) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 beta) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (+ (* (* 2 beta) 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow beta 2) 1.0) 0) (* (* 2 beta) 1)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 1) (+ (* (* 3 (pow beta 2)) (* 2 beta)) (* (* 3 beta) (- (pow beta 2) 1.0)))) into (- (* 10 (pow beta 3)) (* 3.0 beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) (* 2 beta)) (* (* 3 (pow beta 2)) (- (pow beta 2) 1.0))) into (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 3))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 3)))))) into (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) * [misc]backup-simplify: Simplify (- (/ 0 (* (- (pow beta 2) 1.0) (pow beta 3))) (+ (* (/ 1 (- (pow beta 2) 1.0)) (/ (- (* 10 (pow beta 3)) (* 3.0 beta)) (* (- (pow beta 2) 1.0) (pow beta 3)))) (* (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2)))) (/ (- (* 5 (pow beta 4)) (* 3.0 (pow beta 2))) (* (- (pow beta 2) 1.0) (pow beta 3)))))) into (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (* 9/8 (- (+ (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 9.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 25 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 10 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 30.0 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 0 (- (* 3.0 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) beta))) (* 5 (/ beta (pow (- (pow beta 2) 1.0) 2))))) (* 0 (/ 1 (- (pow beta 2) 1.0))))) into (- (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (/ 1/4 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (/ 4 (pow (- (pow beta 2) 1.0) 2)) (- (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))))))) (+ (* 45/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) * [misc]backup-simplify: Simplify (+ (- (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) * [misc]backup-simplify: Simplify (+ (- (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))))) (- (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) into (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) * [misc]backup-simplify: Simplify (+ (/ 3/2 (* (- (pow beta 2) 1.0) (pow beta 2))) (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 1/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) into (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) into (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) * [misc]backup-simplify: Simplify (+ (- (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))) (- (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) into (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))) (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) into (- (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* 3.625 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 10.5 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 44 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (* 9/2 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))))))))) (+ (* 25/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 34.0 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)))))))) (- (+ (* 29/4 (/ 1 (pow (- (pow beta 2) 1.0) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 33.75 (/ 1 (pow (- (pow beta 2) 1.0) 3))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) (+ (* 10.125 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 225/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 7/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 3.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))))))))))) into (- (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (pow (- (pow beta 2) 1.0) 2)) (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 9.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 9.0 in beta * [misc]backup-simplify: Simplify 9.0 into 9.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 0.375 (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 0.375 in beta * [misc]backup-simplify: Simplify 0.375 into 0.375 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 3) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* -1.0 1) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 127/8 (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3))) in beta * [misc]taylor: Taking taylor expansion of 127/8 in beta * [misc]backup-simplify: Simplify 127/8 into 127/8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 2) 1.0) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 24.0 (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 24.0 in beta * [misc]backup-simplify: Simplify 24.0 into 24.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 2)) (pow beta 6)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 4) (* 1.0 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))))) in beta * [misc]taylor: Taking taylor expansion of (* 7.875 (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 7.875 in beta * [misc]backup-simplify: Simplify 7.875 into 7.875 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))))) in beta * [misc]taylor: Taking taylor expansion of (* 11/4 (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 11/4 in beta * [misc]backup-simplify: Simplify 11/4 into 11/4 * [misc]taylor: Taking taylor expansion of (/ 1 (* (- (pow beta 2) 1.0) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (- (pow beta 2) 1.0) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) 1) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]taylor: Taking taylor expansion of (+ (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 0.25 in beta * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (- (pow beta 2) 1.0) 2) (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 21 (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 21 in beta * [misc]backup-simplify: Simplify 21 into 21 * [misc]taylor: Taking taylor expansion of (/ (pow beta 10) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 27/2 (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 27/2 in beta * [misc]backup-simplify: Simplify 27/2 into 27/2 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 6) (* 1.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))))) in beta * [misc]taylor: Taking taylor expansion of (* 30.0 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2))) in beta * [misc]taylor: Taking taylor expansion of 30.0 in beta * [misc]backup-simplify: Simplify 30.0 into 30.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 3)) (pow beta 7)) (* 2.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 3)) (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))))) in beta * [misc]taylor: Taking taylor expansion of (* 6.0 (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 6.0 in beta * [misc]backup-simplify: Simplify 6.0 into 6.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 4) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 2)) (pow beta 6)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3))))))) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2))) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 2) (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 4) (* 1.0 (pow beta 2))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 4) (* 1.0 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3)))))) in beta * [misc]taylor: Taking taylor expansion of (* 18 (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 18 in beta * [misc]backup-simplify: Simplify 18 into 18 * [misc]taylor: Taking taylor expansion of (/ (pow beta 8) (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (+ (* 1.0 (pow beta 2)) (pow beta 6)) (* 2.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (pow beta 2)) (pow beta 6)) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 2.0 in beta * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1.0) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3))))) in beta * [misc]taylor: Taking taylor expansion of (* 9.0 (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2))) in beta * [misc]taylor: Taking taylor expansion of 9.0 in beta * [misc]backup-simplify: Simplify 9.0 into 9.0 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 6) (* 1.0 (pow beta 4))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 6) (* 1.0 (pow beta 4))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (+ (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 105/8 (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2))) in beta * [misc]taylor: Taking taylor expansion of 105/8 in beta * [misc]backup-simplify: Simplify 105/8 into 105/8 * [misc]taylor: Taking taylor expansion of (/ (pow beta 6) (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 6) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 5) (* 1.0 (pow beta 3))) 2) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 5) (* 1.0 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 1.0 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1.0 1) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (/ 1 1.0) into 1.0 * [misc]taylor: Taking taylor expansion of (* 0.25 (/ 1 (pow (- (pow beta 2) 1.0) 3))) in beta * [misc]taylor: Taking taylor expansion of 0.25 in beta * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (- (pow beta 2) 1.0) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow (- (pow beta 2) 1.0) 3) in beta * [misc]taylor: Taking taylor expansion of (- (pow beta 2) 1.0) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ 0 (- 1.0)) into (- 1.0) * [misc]backup-simplify: Simplify (* (- 1.0) (- 1.0)) into 1.0 * [misc]backup-simplify: Simplify (* (- 1.0) 1.0) into -1.0 * [misc]backup-simplify: Simplify (/ 1 -1.0) into -1.0 * [misc]backup-simplify: Simplify (* 9.0 1.0) into 9.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 1.0)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* (- 1.0) (- 2.0)) (+ (* 0 0) (* 1 1.0))) into 3.0 * [misc]backup-simplify: Simplify (+ (* -1.0 0) (+ (* 0 0) (* 3.0 1))) into 3.0 * [misc]backup-simplify: Simplify (+ (* -1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 3.0 -1.0)) (* 0 (/ 0 -1.0)))) into (- 3.0) * [misc]backup-simplify: Simplify (+ (* 0.375 (- 3.0)) (+ (* 0 0) (* 0 -1.0))) into (- 1.125) * [misc]backup-simplify: Simplify (* 2 1.0) into 2.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 7.875 2.0) (+ (* 0 0) (* 0 1.0))) into 15.75 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (+ (* 0 0) (* 1 1))) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 0 -1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1.0 (/ 1 -1.0)) (* 0 (/ 0 -1.0)))) into (- 1.0) * [misc]backup-simplify: Simplify (+ (* 11/4 (- 1.0)) (+ (* 0 0) (* 0 -1.0))) into (- 2.75) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* (- 2.0) 1))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 0.25 2.0) (+ (* 0 0) (* 0 1.0))) into 0.5 * [misc]backup-simplify: Simplify (* 27/2 1.0) into 13.5 * [misc]backup-simplify: Simplify (+ 0 13.5) into 13.5 * [misc]backup-simplify: Simplify (+ 0.5 13.5) into 14.0 * [misc]backup-simplify: Simplify (+ (- 2.75) 14.0) into 11.25 * [misc]backup-simplify: Simplify (+ 15.75 11.25) into 27.0 * [misc]backup-simplify: Simplify (+ 2.0 27.0) into 29.0 * [misc]backup-simplify: Simplify (+ 0 29.0) into 29.0 * [misc]backup-simplify: Simplify (+ 0 29.0) into 29.0 * [misc]backup-simplify: Simplify (+ (- 1.125) 29.0) into 27.875 * [misc]backup-simplify: Simplify (+ 9.0 27.875) into 36.875 * [misc]backup-simplify: Simplify (+ 1.0 36.875) into 37.875 * [misc]backup-simplify: Simplify (* 6.0 1.0) into 6.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 1.0 2.0) (+ (* 0 0) (* 0 1.0))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 1) (+ (* 0 0) (* 1 (- 1.0)))) into (- 2.0) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1.0) 0) (* 0 (- 1.0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ 0 1.0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1.0) (+ (* 1.0 (/ (- 2.0) 1.0)) (* 0 (/ 0 1.0)))) into 2.0 * [misc]backup-simplify: Simplify (+ (* 9.0 2.0) (+ (* 0 0) (* 0 1.0))) into 18.0 * [misc]backup-simplify: Simplify (* 105/8 1.0) into 13.125 * [misc]backup-simplify: Simplify (* 0.25 -1.0) into -0.25 * [misc]backup-simplify: Simplify (+ 13.125 -0.25) into 12.875 * [misc]backup-simplify: Simplify (+ 18.0 12.875) into 30.875 * [misc]backup-simplify: Simplify (+ 0 30.875) into 30.875 * [misc]backup-simplify: Simplify (+ 2.0 30.875) into 32.875 * [misc]backup-simplify: Simplify (+ 6.0 32.875) into 38.875 * [misc]backup-simplify: Simplify (+ 0 38.875) into 38.875 * [misc]backup-simplify: Simplify (- 38.875) into (- 38.875) * [misc]backup-simplify: Simplify (+ 37.875 (- 38.875)) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (* (- 1.0) (pow (* 1 (* 1 i)) 4)) (+ (* -1.0 (* 1 (* alpha i))) (* -1.0 (pow (* 1 (* 1 i)) 2)))) into (- (+ (* 1.0 (* i alpha)) (+ (* 1.0 (pow i 4)) (* 1.0 (pow i 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 alpha) (/ 1 i))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) 1) into (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (+ (/ 1 beta) (/ 1 i)) 1) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) 1) into (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) in i * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 alpha)) (* (/ 1 beta) 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1/2 2) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 i)) (+ (/ 1 beta) (/ 1 alpha))) in i * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 alpha)) (* (/ 1 beta) 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1/2 2) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (* 2 2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (+ (* 2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 2) (+ (* 1/2 (/ 0 2)))) into (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 alpha)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (+ (* 2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) 2) (+ (* 1/4 (/ 0 2)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* 2 (+ (/ 1 alpha) (/ 1 beta))) (* (+ (/ 1 alpha) (/ 1 beta)) 2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) 2)) (* (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) (/ 0 2)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 alpha)) (* 0 1))) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 2) (+ (* 1/4 (/ (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) 2)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 2)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* (+ (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* 0 2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) in beta * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 i)) into (- (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 alpha) (/ 1 i)))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) 1) into (* +nan.0 (/ (pow (+ (/ 1 alpha) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) in alpha * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ (/ -1 beta) (/ -1 i)) into (- (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (- (+ (/ 1 beta) (/ 1 i))) -1) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) 1) into (* +nan.0 (/ (pow (+ (/ 1 beta) (/ 1 i)) 2) i)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 beta) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 alpha))) (* (- (/ 1 beta)) -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (/ -1/2 -2) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0)) in i * [misc]taylor: Taking taylor expansion of (/ (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ 1 (- i))) (+ (/ 1 (- beta)) (/ 1 (- alpha)))) in i * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 beta) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 alpha))) (* (- (/ 1 beta)) -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (/ -1/2 -2) into 1/4 * [misc]taylor: Taking taylor expansion of (- (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) 1.0) in i * [misc]taylor: Taking taylor expansion of (* (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1.0 in i * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (* -2 -2) into 4 * [misc]backup-simplify: Simplify (+ 4 0) into 4 * [misc]backup-simplify: Simplify (/ 1/4 4) into 1/16 * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ 1 alpha) (/ 1 beta))) 1) (+ (* -2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) -2) (+ (* -1/2 (/ 0 -2)))) into (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 beta) (/ -1 alpha)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (/ 1 alpha) (/ 1 beta)))) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ 1 alpha) (/ 1 beta))) 1) (+ (* -2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) -2) (+ (* 1/4 (/ 0 -2)))) into (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (* -2 (- (+ (/ 1 alpha) (/ 1 beta)))) (* (- (+ (/ 1 alpha) (/ 1 beta))) -2)) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 0) into (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) 4) (+ (* 1/16 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) -2)) (* (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) (/ 0 -2)))) into (- (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) (* 1/8 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 beta)) (- (/ 1 alpha))) (* 0 -1))) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (/ (- (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) (* 1/8 (/ 1 (* beta alpha)))) -2) (+ (* 1/4 (/ (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) -2)) (* (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 beta))) (/ 0 -2)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* (- (+ (/ 1 alpha) (/ 1 beta))) (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -2))) into (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (+ (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) (- 1.0)) into (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) * [misc]backup-simplify: Simplify (- (/ (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) 4) (+ (* 1/16 (/ (- (+ (/ 1 (pow beta 2)) (+ (* 2 (/ 1 (* beta alpha))) (/ 1 (pow alpha 2)))) 1.0) 4)) (* 0 (/ (+ (* 4 (/ 1 alpha)) (* 4 (/ 1 beta))) 4)))) into (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- 0.015625 (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of 0.015625 in alpha * [misc]backup-simplify: Simplify 0.015625 into 0.015625 * [misc]taylor: Taking taylor expansion of (+ (* 1/32 (/ 1 (pow beta 2))) (* 1/32 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/32 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/32 in alpha * [misc]backup-simplify: Simplify 1/32 into 1/32 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))) (* 0 (/ 0 (pow beta 2))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (pow beta 2)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/32 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in (beta alpha i) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i beta))) into (sqrt (+ (pow i 2) (* i beta))) * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i beta))) into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (/ (+ i beta) (* 2 (sqrt (+ (pow i 2) (* i beta))))) into (* 1/2 (* (+ i beta) (sqrt (/ 1 (+ (pow i 2) (* i beta)))))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i alpha))) into (sqrt (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i alpha))) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (+ (pow i 2) (* i alpha))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i alpha))) into (sqrt (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i alpha))) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (+ (pow i 2) (* i alpha))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (pow i 2) (* i alpha))) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow i 2) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i alpha) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (sqrt (pow i 2)) into i * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (/ i (* 2 (sqrt (pow i 2)))) into 1/2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha)) in alpha * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ (pow i 2) (* i alpha))) in alpha * [misc]taylor: Taking taylor expansion of (+ (pow i 2) (* i alpha)) in alpha * [misc]taylor: Taking taylor expansion of (pow i 2) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (* i alpha) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (pow i 2) 0) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]backup-simplify: Simplify (sqrt (/ 1 (pow i 2))) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* i 0) (* 0 i)) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow i 2)) (/ i (pow i 2))))) into (- (/ 1 (pow i 3))) * [misc]backup-simplify: Simplify (/ (- (/ 1 (pow i 3))) (* 2 (sqrt (/ 1 (pow i 2))))) into (/ -1/2 (pow i 2)) * [misc]taylor: Taking taylor expansion of (+ i alpha) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ i 0) into i * [misc]backup-simplify: Simplify (* (/ 1 i) i) into 1 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (* i (* 1 1))) (+ (* 1/2 (* 1 (* alpha 1))) (* 1/2 (* 1 (* 1 beta))))) into (+ i (+ (* 1/2 beta) (* 1/2 alpha))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in (beta alpha i) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 alpha))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i))) (* 0 1)) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (* i alpha)) (/ 1 (pow i 2)))) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) (pow (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* i alpha))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* i alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* i alpha) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow i 2) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i))) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 i)))) (* 0 (- +nan.0))) into (- (* +nan.0 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ 1 i)) (* 0 1)) into (- (* +nan.0 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* 1 (* (/ 1 (/ 1 alpha)) 1))) (+ (* (- +nan.0) (* (/ 1 (/ 1 i)) (* 1 1))) (* (- +nan.0) (* (/ 1 (/ 1 i)) (* (/ 1 (/ 1 alpha)) (/ 1 beta)))))) into (- (+ (* +nan.0 i) (- (+ (* +nan.0 (/ (* i alpha) beta)) (- (* +nan.0 alpha)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in (beta alpha i) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 alpha))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ (- (/ 1 alpha)) (/ -1 i)) into (- (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 i) (- (+ (/ 1 alpha) (/ 1 i)))) (* 0 -1)) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 (* i alpha)) (/ 1 (pow i 2)))) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) (pow (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* i alpha))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* i alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* i alpha) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* i 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 0)) into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow i 2) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* i i) into (pow i 2) * [misc]backup-simplify: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ +nan.0 i) 0) into (- (* +nan.0 (/ 1 i))) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 i)))) (* 0 (- +nan.0))) into (- (* +nan.0 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ 1 i)) (* 0 1)) into (- (* +nan.0 (/ 1 i))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* 1 (* (/ 1 (/ 1 (- alpha))) 1))) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- i))) (* 1 1))) (* (- +nan.0) (* (/ 1 (/ 1 (- i))) (* (/ 1 (/ 1 (- alpha))) (/ 1 (- beta))))))) into (- (+ (* +nan.0 i) (- (+ (* +nan.0 (/ (* i alpha) beta)) (- (* +nan.0 alpha)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in (beta i alpha) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta i) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ alpha i) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (* (+ i beta) i) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (sqrt (* i (+ i beta))) into (sqrt (* i (+ i beta))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (+ i beta) 1) (* 0 i)) into (+ i beta) * [misc]backup-simplify: Simplify (/ (+ i beta) (* 2 (sqrt (* i (+ i beta))))) into (* 1/2 (sqrt (/ (+ i beta) i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in i * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in i * [misc]taylor: Taking taylor expansion of (+ beta i) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ alpha i) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in beta * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in beta * [misc]taylor: Taking taylor expansion of (+ beta i) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ alpha i) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (sqrt (* i (+ i alpha))) into (sqrt (* i (+ i alpha))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 1 (+ i alpha))) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (* i (+ i alpha))))) into (* 1/2 (sqrt (/ (+ i alpha) i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ beta i) (+ alpha i))) in beta * [misc]taylor: Taking taylor expansion of (* (+ beta i) (+ alpha i)) in beta * [misc]taylor: Taking taylor expansion of (+ beta i) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ alpha i) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (+ 0 i) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (sqrt (* i (+ i alpha))) into (sqrt (* i (+ i alpha))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 0) (* 1 (+ i alpha))) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (* i (+ i alpha))))) into (* 1/2 (sqrt (/ (+ i alpha) i))) * [misc]taylor: Taking taylor expansion of (sqrt (* i (+ i alpha))) in i * [misc]taylor: Taking taylor expansion of (* i (+ i alpha)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ i alpha) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (+ 0 alpha) into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ alpha (* 2 (sqrt 0))) into (* +nan.0 alpha) * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* 1/2 (sqrt (/ (+ i alpha) i))) in i * [misc]taylor: Taking taylor expansion of 1/2 in i * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ i alpha) i)) in i * [misc]taylor: Taking taylor expansion of (/ (+ i alpha) i) in i * [misc]taylor: Taking taylor expansion of (+ i alpha) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 alpha) into alpha * [misc]backup-simplify: Simplify (/ alpha 1) into alpha * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ alpha (* 2 (sqrt 0))) into (* +nan.0 alpha) * [misc]backup-simplify: Simplify (+ (* 1/2 (* +nan.0 alpha)) (* 0 0)) into (- (* +nan.0 alpha)) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 alpha) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 alpha) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* i 0) (+ (* 1 0) (* 0 (+ i alpha)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* 1/2 (sqrt (/ (+ i alpha) i))) 2) (+)) (* 2 (sqrt (* i (+ i alpha))))) into (* -1/8 (sqrt (/ (+ i alpha) (pow i 3)))) * [misc]taylor: Taking taylor expansion of (* -1/8 (sqrt (/ (+ i alpha) (pow i 3)))) in i * [misc]taylor: Taking taylor expansion of -1/8 in i * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]taylor: Taking taylor expansion of (sqrt (/ (+ i alpha) (pow i 3))) in i * [misc]taylor: Taking taylor expansion of (/ (+ i alpha) (pow i 3)) in i * [misc]taylor: Taking taylor expansion of (+ i alpha) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (pow i 3) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 alpha) into alpha * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ alpha 1) into alpha * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ alpha (* 2 (sqrt 0))) into (* +nan.0 alpha) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* alpha (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* +nan.0 alpha) 2) (+)) (* 2 0)) into (* +nan.0 (- 1 (* +nan.0 (pow alpha 2)))) * [misc]backup-simplify: Simplify (+ (* -1/8 (* +nan.0 (- 1 (* +nan.0 (pow alpha 2))))) (+ (* 0 (* +nan.0 alpha)) (* 0 0))) into (- (+ (* +nan.0 (pow alpha 2)) (- +nan.0))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow alpha 2)) (- +nan.0))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow alpha 2)) (- +nan.0)) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- +nan.0) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* alpha (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* +nan.0 alpha) 2) (+)) (* 2 0)) into (* +nan.0 (- 1 (* +nan.0 (pow alpha 2)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (* +nan.0 (- 1 (* +nan.0 (pow alpha 2))))) (+ (* 0 (* +nan.0 alpha)) (* 0 0))) into (- (+ (* +nan.0 (pow alpha 2)) (- +nan.0))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow alpha 2)) (- +nan.0))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow alpha 2)) (- +nan.0)) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- +nan.0) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 alpha))) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* +nan.0 alpha) 2) (+)) (* 2 0)) into (* +nan.0 (- 1 (* +nan.0 (pow alpha 2)))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (- 1 (* +nan.0 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- 1 (* +nan.0 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (* 1 (* i 1)) 2)) (+ (* (- +nan.0) (* 1 (* i beta))) (* (- +nan.0) (pow (* 1 (* 1 beta)) 2)))) into (- (+ (* +nan.0 (pow i 2)) (- (+ (* +nan.0 (pow beta 2)) (- (* +nan.0 (* i beta))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in (beta i alpha) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (+ (/ 1 beta) (/ 1 i)) 1) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 alpha)) (* (/ 1 beta) 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 alpha) (/ 1 i))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 beta) (/ 1 i)) (+ (/ 1 alpha) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 beta) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (* 1 (+ (/ 1 alpha) (/ 1 i))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 i)) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 i) (+ (/ 1 alpha) (/ 1 i)))) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) (pow (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* i alpha))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* i alpha)) in i * [misc]taylor: Taking taylor expansion of (* i alpha) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 2)))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in i * [misc]taylor: Taking taylor expansion of (pow alpha 2) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (* alpha alpha) into (pow alpha 2) * [misc]backup-simplify: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2)) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 alpha)) into (/ +nan.0 alpha) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ +nan.0 alpha) 0) into (- (* +nan.0 (/ 1 alpha))) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 alpha)))) (* 0 (- +nan.0))) into (- (* +nan.0 (/ 1 alpha))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ 1 alpha)) (* 0 1)) into (- (* +nan.0 (/ 1 alpha))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* 1 (* (/ 1 (/ 1 i)) 1))) (+ (* (- +nan.0) (* (/ 1 (/ 1 alpha)) (* 1 1))) (* (- +nan.0) (* (/ 1 (/ 1 alpha)) (* (/ 1 (/ 1 i)) (/ 1 beta)))))) into (- (+ (* +nan.0 i) (- (+ (* +nan.0 (/ (* i alpha) beta)) (- (* +nan.0 alpha)))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in (beta i alpha) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ (/ -1 beta) (/ -1 i)) into (- (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (- (+ (/ 1 beta) (/ 1 i))) -1) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) 0) into (- (/ 1 alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 beta) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ 1 alpha))) (* (- (/ 1 beta)) -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 i)) into (- (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 alpha) (/ 1 i)))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of (sqrt (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- beta)) (/ 1 (- i))) (+ (/ 1 (- alpha)) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- beta)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 i)) into (- (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (* -1 (- (+ (/ 1 alpha) (/ 1 i)))) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]taylor: Taking taylor expansion of 0 in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 i) (/ 0 (- i))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 i)) into (- (/ 1 i)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 i)) (- (+ (/ 1 alpha) (/ 1 i))))) into (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) * [misc]backup-simplify: Simplify (/ (- (+ (/ 1 (* i alpha)) (/ 1 (pow i 2))) (pow (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) 2) (+)) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) * [misc]taylor: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i alpha))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* i alpha))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (* i alpha)) in i * [misc]taylor: Taking taylor expansion of (* i alpha) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (* +nan.0 (/ 1 (pow alpha 2))))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow i 2)) in i * [misc]taylor: Taking taylor expansion of (pow i 2) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow alpha 2)))) in i * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow alpha 2))) in i * [misc]taylor: Taking taylor expansion of +nan.0 in i * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in i * [misc]taylor: Taking taylor expansion of (pow alpha 2) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (* alpha alpha) into (pow alpha 2) * [misc]backup-simplify: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2)) * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 alpha)) into (/ +nan.0 alpha) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ +nan.0 alpha) 0) into (- (* +nan.0 (/ 1 alpha))) * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 alpha)))) (* 0 (- +nan.0))) into (- (* +nan.0 (/ 1 alpha))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ 1 alpha)) (* 0 1)) into (- (* +nan.0 (/ 1 alpha))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 alpha))) in alpha * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of +nan.0 in alpha * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* +nan.0 1) into +nan.0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]taylor: Taking taylor expansion of 0 in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* 1 (* (/ 1 (/ 1 (- i))) 1))) (+ (* (- +nan.0) (* (/ 1 (/ 1 (- alpha))) (* 1 1))) (* (- +nan.0) (* (/ 1 (/ 1 (- alpha))) (* (/ 1 (/ 1 (- i))) (/ 1 (- beta))))))) into (- (+ (* +nan.0 i) (- (+ (* +nan.0 (/ (* i alpha) beta)) (- (* +nan.0 alpha)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in beta * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 i) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in beta * [misc]taylor: Taking taylor expansion of (* beta alpha) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in beta * [misc]taylor: Taking taylor expansion of (+ alpha beta) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i alpha))) into (+ (pow i 2) (* i alpha)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i alpha))) into (sqrt (+ (pow i 2) (* i alpha))) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 alpha)) into alpha * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i alpha))) into i * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (/ (+ i alpha) (* 2 (sqrt (+ (pow i 2) (* i alpha))))) into (* 1/2 (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ i alpha))) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ alpha (* 2 i)) into (+ (* 2 i) alpha) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) alpha) (sqrt (+ (pow i 2) (* i alpha)))) into (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ (* 2 i) alpha)) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha i) into (+ i alpha) * [misc]backup-simplify: Simplify (* i (+ i alpha)) into (* i (+ i alpha)) * [misc]backup-simplify: Simplify (/ (* i (+ i alpha)) (* (sqrt (/ 1 (+ (pow i 2) (* i alpha)))) (+ (* 2 i) alpha))) into (* (/ (* i (+ i alpha)) (+ (* 2 i) alpha)) (sqrt (+ (pow i 2) (* i alpha)))) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in alpha * [misc]taylor: Taking taylor expansion of (+ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (+ 0 (* i (+ i beta))) into (+ (pow i 2) (* i beta)) * [misc]backup-simplify: Simplify (sqrt (+ (pow i 2) (* i beta))) into (sqrt (+ (pow i 2) (* i beta))) * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* i 1) (* 0 (+ i beta))) into i * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (/ (+ i beta) (* 2 (sqrt (+ (pow i 2) (* i beta))))) into (* 1/2 (* (+ i beta) (sqrt (/ 1 (+ (pow i 2) (* i beta)))))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 i) into (* 2 i) * [misc]backup-simplify: Simplify (+ beta (* 2 i)) into (+ (* 2 i) beta) * [misc]backup-simplify: Simplify (/ (+ (* 2 i) beta) (sqrt (+ (pow i 2) (* i beta)))) into (* (+ (* 2 i) beta) (sqrt (/ 1 (+ (pow i 2) (* i beta))))) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (+ beta i) into (+ i beta) * [misc]backup-simplify: Simplify (* i (+ i beta)) into (* i (+ i beta)) * [misc]backup-simplify: Simplify (/ (* i (+ i beta)) (* (+ (* 2 i) beta) (sqrt (/ 1 (+ (pow i 2) (* i beta)))))) into (* (/ (* i (+ i beta)) (+ (* 2 i) beta)) (sqrt (+ (pow i 2) (* i beta)))) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (sqrt (* beta alpha)) * [misc]taylor: Taking taylor expansion of (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) in i * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 i)) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (* 2 i) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) in i * [misc]taylor: Taking taylor expansion of (+ (* beta alpha) (* i (+ (+ alpha beta) i))) in i * [misc]taylor: Taking taylor expansion of (* beta alpha) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of (* i (+ (+ alpha beta) i)) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) i) in i * [misc]taylor: Taking taylor expansion of (+ alpha beta) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta alpha) into (* beta alpha) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ (* beta alpha) 0) into (* beta alpha) * [misc]backup-simplify: Simplify (sqrt (* beta alpha)) into (sqrt (* beta alpha)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ 0 (+ beta alpha)) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (sqrt (* beta alpha))) into (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (+ alpha beta) into (+ beta alpha) * [misc]backup-simplify: Simplify (+ (+ beta alpha) 0) into (+ beta alpha) * [misc]backup-simplify: Simplify (* 0 (+ beta alpha)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 (+ beta alpha))) into (+ beta alpha) * [misc]backup-simplify: Simplify (/ (+ beta alpha) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) into (sqrt (* beta alpha)) * [misc]taylor: Taking taylor expansion of (sqrt (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (- (/ 2 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) * [misc]backup-simplify: Simplify (- (/ 1 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 3))) (* (- (/ 1 (pow beta 2))) 0)) into (- (* +nan.0 (pow beta 2))) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 (pow beta 2)))) (* 0 0)) into (- (* +nan.0 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 (- (* +nan.0 (pow beta 2)))) into (- (* +nan.0 (pow beta 2))) * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* +nan.0 beta) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 alpha))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (+ beta alpha)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) 2) (+)) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ beta 1) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ alpha beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 5) (pow beta 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (pow beta 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 5) (pow alpha 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 5) 1) into (pow beta 5) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 5) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) (pow alpha 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) (pow beta 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow beta 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 3)) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 beta)) (* (- (/ 1 (pow beta 2))) 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 (- +nan.0)) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (* 3/8 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 5) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 5)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 10)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 1 (pow beta 2))) (* (- (* 2 (/ 1 (pow beta 3)))) (/ (* 2 beta) (pow beta 2))))) into (* 3 (/ 1 (pow beta 4))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 10))) (+ (* (- (* 2 (/ 1 (pow beta 3)))) (* +nan.0 (pow beta 5))) (* (* 3 (/ 1 (pow beta 4))) 0))) into (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 5))) (* (- (* 2 (/ 1 (pow beta 3)))) 0)) into (- (* +nan.0 (pow beta 3))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2)))))) (+ (* 0 (- (* +nan.0 (pow beta 3)))) (* 0 0))) into (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2)))))) into (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2)))))) into (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2))))) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2)))))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 3))) (* (- (* 2 (/ 1 (pow beta 3)))) 0)) into (- (* +nan.0 beta)) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (* +nan.0 beta))) (* 0 0)) into (- (* +nan.0 beta)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 6)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* (- (/ 1 (pow beta 2))) (/ 1 beta)))) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 6))) (+ (* (- (/ 1 (pow beta 2))) (* +nan.0 (pow beta 3))) (* (/ 1 (pow beta 3)) 0))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 3))) (* (- (/ 1 (pow beta 2))) 0)) into (- (* +nan.0 (pow beta 2))) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) (+ (* 0 (- (* +nan.0 (pow beta 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) 0) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 beta)) (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))) (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 5)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta)))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 5)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta)))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 5)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 8)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 5)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta)))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 5)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 beta))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ +nan.0 (- (* +nan.0 beta)))) in beta * [misc]taylor: Taking taylor expansion of (+ +nan.0 (- (* +nan.0 beta))) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 beta) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ +nan.0 0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 6)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* (- (/ 1 (pow beta 2))) (/ 1 beta)))) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 6))) (+ (* (- (/ 1 (pow beta 2))) (* +nan.0 (pow beta 3))) (* (/ 1 (pow beta 3)) 0))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) (+ (* 0 (- (* +nan.0 (pow beta 2)))) (* 0 0))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) into (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 5))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 5))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 5)))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 beta) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow beta 5))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 5)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 5) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 beta) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (+ beta alpha)))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (+ (* 0 0) (* 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ beta alpha))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))))))) (* 2 (sqrt (* beta alpha)))) into (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (* beta alpha))) (+ (* (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))) (/ (* 1/2 (* (- (+ (* 1/8 (/ beta (pow alpha 2))) (* 1/8 (/ alpha (pow beta 2)))) (+ (* 1/8 (/ 1 alpha)) (* 1/8 (/ 1 beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (/ (* 1/2 (* (- 1/2 (+ (* 1/4 (/ beta alpha)) (* 1/4 (/ alpha beta)))) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))) (* (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (/ (* 1/2 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (sqrt (* beta alpha)))))) into (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) * [misc]backup-simplify: Simplify (- (/ 0 (* (+ beta alpha) (sqrt (/ 1 (* beta alpha))))) (+ (* (sqrt (* beta alpha)) (/ (- (+ (* 1/8 (sqrt (/ 1 (* (pow beta 3) (pow alpha 3))))) (+ (* 1/4 (sqrt (/ 1 (* beta (pow alpha 5))))) (* 1/4 (sqrt (/ 1 (* (pow beta 5) alpha)))))) (+ (* 5/16 (sqrt (/ alpha (pow beta 7)))) (* 5/16 (sqrt (/ beta (pow alpha 7)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (+ (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) beta)))) (* 1/2 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) alpha))))) (/ (- (+ (* 3/8 (sqrt (/ alpha (pow beta 5)))) (* 3/8 (sqrt (/ beta (pow alpha 5))))) (+ (* 3/8 (sqrt (/ 1 (* beta (pow alpha 3))))) (* 3/8 (sqrt (/ 1 (* (pow beta 3) alpha)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))) (* (- (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (* beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ beta alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha beta)))) (+ (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (* 1/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 3))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) beta)))) (* 3/8 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) (/ (- (sqrt (/ 1 (* beta alpha))) (+ (* 1/2 (sqrt (/ alpha (pow beta 3)))) (* 1/2 (sqrt (/ beta (pow alpha 3)))))) (* (+ beta alpha) (sqrt (/ 1 (* beta alpha)))))))) into (- (+ (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3))))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 3) (pow alpha 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) (pow alpha 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5))))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 7) (pow beta 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 7) (pow beta 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 7) (pow beta 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 7) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 5)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5))))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 7) (pow alpha 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 7) (pow alpha 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 7) (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 7) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* (pow beta 3) (pow beta 3)) into (pow beta 6) * [misc]backup-simplify: Simplify (* beta (pow beta 6)) into (pow beta 7) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 7) 1) into (pow beta 7) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 7) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 7)) * [misc]taylor: Taking taylor expansion of (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 7/8 in alpha * [misc]backup-simplify: Simplify 7/8 into 7/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 3) alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) alpha) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5))))) in alpha * [misc]taylor: Taking taylor expansion of 5/16 in alpha * [misc]backup-simplify: Simplify 5/16 into 5/16 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow beta 3) (pow alpha 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 3) (pow alpha 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 3) (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 3) 1) into (pow beta 3) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 3) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 7/8 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta)))) in alpha * [misc]taylor: Taking taylor expansion of 7/8 in alpha * [misc]backup-simplify: Simplify 7/8 into 7/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 3) beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) beta) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 5/16 (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5))))) in alpha * [misc]taylor: Taking taylor expansion of 5/16 in alpha * [misc]backup-simplify: Simplify 5/16 into 5/16 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ (pow alpha 3) (pow beta 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) (pow beta 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow beta 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 5)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (* 3/4 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3))))) in alpha * [misc]taylor: Taking taylor expansion of 3/4 in alpha * [misc]backup-simplify: Simplify 3/4 into 3/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 3) (pow beta 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 3) (pow beta 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 3) (pow beta 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow alpha 5) (pow beta 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 5) (pow beta 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (pow beta 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5))))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow beta 5) (pow alpha 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 5) (pow alpha 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow alpha 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 5) 1) into (pow beta 5) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 5) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ beta (pow alpha 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ beta (pow alpha 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ beta (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ beta 1) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta)))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ alpha beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ alpha beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ alpha beta) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ beta 1) into beta * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ beta (* 2 (sqrt 0))) into (* +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha))))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ 1 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 beta) (* 2 (sqrt 0))) into (/ +nan.0 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 3)) (sqrt (/ (pow beta 5) (pow alpha 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 3) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow beta 5) (pow alpha 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow beta 5) (pow alpha 3)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of (pow alpha 3) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (pow beta 5) 1) into (pow beta 5) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (pow beta 5) (* 2 (sqrt 0))) into (* +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (+ (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))))) in alpha * [misc]taylor: Taking taylor expansion of (* 3/8 (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5))))) in alpha * [misc]taylor: Taking taylor expansion of 3/8 in alpha * [misc]backup-simplify: Simplify 3/8 into 3/8 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (+ beta alpha) 2)) (sqrt (/ (pow alpha 5) (pow beta 5)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ beta alpha) 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow (+ beta alpha) 2) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (pow alpha 5) (pow beta 5))) in alpha * [misc]taylor: Taking taylor expansion of (/ (pow alpha 5) (pow beta 5)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 5) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 5) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* (pow beta 2) (pow beta 2)) into (pow beta 4) * [misc]backup-simplify: Simplify (* beta (pow beta 4)) into (pow beta 5) * [misc]backup-simplify: Simplify (/ 1 (pow beta 5)) into (/ 1 (pow beta 5)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 5)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 5)) * [misc]taylor: Taking taylor expansion of (* 1/4 (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3))))) in alpha * [misc]taylor: Taking taylor expansion of 1/4 in alpha * [misc]backup-simplify: Simplify 1/4 into 1/4 * [misc]taylor: Taking taylor expansion of (* (/ 1 (+ beta alpha)) (sqrt (/ alpha (pow beta 3)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (+ beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (+ beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (sqrt (/ alpha (pow beta 3))) in alpha * [misc]taylor: Taking taylor expansion of (/ alpha (pow beta 3)) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow beta 3) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (* beta (pow beta 2)) into (pow beta 3) * [misc]backup-simplify: Simplify (/ 1 (pow beta 3)) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (/ 1 (pow beta 3)) (* 2 (sqrt 0))) into (/ +nan.0 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 6)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 1 (pow beta 2))) (* (- (* 2 (/ 1 (pow beta 3)))) (/ (* 2 beta) (pow beta 2))))) into (* 3 (/ 1 (pow beta 4))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 6))) (+ (* (- (* 2 (/ 1 (pow beta 3)))) (* +nan.0 (pow beta 3))) (* (* 3 (/ 1 (pow beta 4))) 0))) into (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 3))) (* (- (* 2 (/ 1 (pow beta 3)))) 0)) into (- (* +nan.0 beta)) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3/4 (- (+ (* +nan.0 (pow beta 4)) (- +nan.0)))) (+ (* 0 (- (* +nan.0 beta))) (* 0 0))) into (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (+ (* 0 0) (* 0 (pow beta 3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 3) 0) (* 0 (pow beta 3))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 6)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 6))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 7) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 7) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 7)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 14)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (pow beta 7)) (* +nan.0 (pow beta 14)))))) (* 2 0)) into (* +nan.0 (pow beta 21)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 (pow beta 4)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ (* 3 beta) (pow beta 3))) (* (- (* 3 (/ 1 (pow beta 4)))) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (* 6 (/ 1 (pow beta 5))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 1) (* 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (+ (* 0 (* 2 beta)) (* 0 (pow beta 2))))) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ 1 (pow beta 3))) (* (- (* 3 (/ 1 (pow beta 4)))) (/ (* 3 beta) (pow beta 3))) (* (* 6 (/ 1 (pow beta 5))) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 10 (/ 1 (pow beta 6)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 21))) (+ (* (- (* 3 (/ 1 (pow beta 4)))) (* +nan.0 (pow beta 14))) (+ (* (* 6 (/ 1 (pow beta 5))) (* +nan.0 (pow beta 7))) (* (- (* 10 (/ 1 (pow beta 6)))) 0)))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 10)) (- (* +nan.0 (pow beta 2))))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 14))) (+ (* (- (* 3 (/ 1 (pow beta 4)))) (* +nan.0 (pow beta 7))) (* (* 6 (/ 1 (pow beta 5))) 0))) into (- (+ (* +nan.0 (pow beta 11)) (- (* +nan.0 (pow beta 3))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 7))) (* (- (* 3 (/ 1 (pow beta 4)))) 0)) into (- (* +nan.0 (pow beta 4))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 10)) (- (* +nan.0 (pow beta 2)))))))) (+ (* 0 (- (+ (* +nan.0 (pow beta 11)) (- (* +nan.0 (pow beta 3)))))) (+ (* 0 (- (* +nan.0 (pow beta 4)))) (* 0 0)))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 10)) (- (* +nan.0 (pow beta 2))))))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 (pow beta 4)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 3))) (* (- (* 3 (/ 1 (pow beta 4)))) 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 7/8 (- +nan.0)) (* 0 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 3) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 3) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 3)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 6)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (pow beta 3)) (* +nan.0 (pow beta 6)))))) (* 2 0)) into (* +nan.0 (pow beta 9)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* (- (/ 1 (pow beta 2))) (/ 1 beta)))) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* (- (/ 1 (pow beta 2))) (/ 0 beta)) (* (/ 1 (pow beta 3)) (/ 1 beta)))) into (- (/ 1 (pow beta 4))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 9))) (+ (* (- (/ 1 (pow beta 2))) (* +nan.0 (pow beta 6))) (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 3))) (* (- (/ 1 (pow beta 4))) 0)))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 6))) (+ (* (- (/ 1 (pow beta 2))) (* +nan.0 (pow beta 3))) (* (/ 1 (pow beta 3)) 0))) into (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 3))) (* (- (/ 1 (pow beta 2))) 0)) into (- (* +nan.0 (pow beta 2))) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 5/16 (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0)))))) (+ (* 0 (- (+ (* +nan.0 (pow beta 5)) (- (* +nan.0 beta))))) (+ (* 0 (- (* +nan.0 (pow beta 2)))) (* 0 0)))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))))) 0) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (- +nan.0) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0)))))) into (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 10)) (- (* +nan.0 (pow beta 2))))))) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- +nan.0)))))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 (pow beta 4))))))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 (pow beta 4)))))))))))))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 (pow beta 4))))))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 4)) (- +nan.0))) (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 2)) (- (+ +nan.0 (- (* +nan.0 (pow beta 4)))))))))))))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (pow beta 2)) (- (+ (* +nan.0 (pow beta 10)) (- +nan.0))))))))))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (+ (* 0 0) (* 0 (pow beta 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 (pow beta 4)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 5) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 5) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 5)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 10)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (pow beta 5)) (* +nan.0 (pow beta 10)))))) (* 2 0)) into (* +nan.0 (pow beta 15)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 1 (pow beta 2))) (* (- (* 2 (/ 1 (pow beta 3)))) (/ (* 2 beta) (pow beta 2))))) into (* 3 (/ 1 (pow beta 4))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 1) (* 0 beta)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ 0 (pow beta 2))) (* (- (* 2 (/ 1 (pow beta 3)))) (/ 1 (pow beta 2))) (* (* 3 (/ 1 (pow beta 4))) (/ (* 2 beta) (pow beta 2))))) into (- (* 4 (/ 1 (pow beta 5)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 15))) (+ (* (- (* 2 (/ 1 (pow beta 3)))) (* +nan.0 (pow beta 10))) (+ (* (* 3 (/ 1 (pow beta 4))) (* +nan.0 (pow beta 5))) (* (- (* 4 (/ 1 (pow beta 5)))) 0)))) into (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 10))) (+ (* (- (* 2 (/ 1 (pow beta 3)))) (* +nan.0 (pow beta 5))) (* (* 3 (/ 1 (pow beta 4))) 0))) into (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 (pow beta 5))) (* (- (* 2 (/ 1 (pow beta 3)))) 0)) into (- (* +nan.0 (pow beta 3))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))) (+ (* 0 (- (+ (* +nan.0 (pow beta 8)) (- (* +nan.0 (pow beta 2)))))) (+ (* 0 (- (* +nan.0 (pow beta 3)))) (* 0 0)))) into (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* beta (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 beta) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 2)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* (- (/ 1 (pow beta 2))) (/ 1 beta)))) into (/ 1 (pow beta 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 (pow beta 2))) (+ (* (- (/ 1 (pow beta 2))) (* +nan.0 beta)) (* (/ 1 (pow beta 3)) 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (* +nan.0 beta)) (* (- (/ 1 (pow beta 2))) 0)) into (- +nan.0) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/4 (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta)))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (* 3/8 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (* 2 beta) (pow beta 2))))) into (- (* 2 (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 2)) (* +nan.0 beta)) (* (- (* 2 (/ 1 (pow beta 3)))) 0)) into (- (* +nan.0 (/ 1 beta))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 2)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 3/8 (- (* +nan.0 (/ 1 beta)))) (* 0 0)) into (- (* +nan.0 (/ 1 beta))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 1 beta)))) into (- (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* (/ 1 beta) (/ +nan.0 beta)) (* (- (/ 1 (pow beta 2))) 0)) into (- (* +nan.0 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 (- (* +nan.0 (/ 1 (pow beta 2))))) (* 0 0)) into (- (* +nan.0 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 beta)) into 0 * [misc]backup-simplify: Simplify (+ (* (pow beta 2) 0) (* 0 (pow beta 2))) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (* 0 (pow beta 4))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (pow beta 5) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow beta 5)) 2) (+)) (* 2 0)) into (* +nan.0 (pow beta 10)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 1 beta)) into (* 2 beta) * [misc]backup-simplify: Simplify (+ (* beta (* 2 beta)) (* 1 (pow beta 2))) into (* 3 (pow beta 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (- (* 3 (/ 1 (pow beta 4)))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 1 1) (* 0 beta))) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (+ (* 1 (* 2 beta)) (* 0 (pow beta 2)))) into (* 3 beta) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow beta 3)) (/ (* 3 beta) (pow beta 3))) (* (- (* 3 (/ 1 (pow beta 4)))) (/ (* 3 (pow beta 2)) (pow beta 3))))) into (* 6 (/ 1 (pow beta 5))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 10))) (+ (* (- (* 3 (/ 1 (pow beta 4)))) (* +nan.0 (pow beta 5))) (* (* 6 (/ 1 (pow beta 5))) 0))) into (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))) * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow beta 3)) (* +nan.0 (pow beta 5))) (* (- (* 3 (/ 1 (pow beta 4)))) 0)) into (- (* +nan.0 (pow beta 2))) * [misc]backup-simplify: Simplify (* (/ 1 (pow beta 3)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))) (+ (* 0 (- (* +nan.0 (pow beta 2)))) (* 0 0))) into (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))) * [misc]backup-simplify: Simplify (* (/ 1 beta) 0) into 0 * [misc]backup-simplify: Simplify (* 1/4 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))) 0) into (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (pow beta 2)))) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))) * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 (pow beta 7))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta)))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 (pow beta 7)))))))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))))))) into (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta)))))))))) * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 (/ 1 beta)) (- (* +nan.0 beta))))))))))) into (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 13)) (- (* +nan.0 (pow beta 7))))))))))) * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 13)) (- (* +nan.0 (pow beta 7)))))))))))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7))))))))))) * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (pow beta 2)) (- (+ (* +nan.0 (pow beta 10)) (- +nan.0))))))))))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 beta) (- (* +nan.0 (pow beta 7)))))))))))) into (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))))))))))) * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 18)) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 18)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 18) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 10)) (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 10)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 10) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 13)) (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 13)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 13) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 beta) (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 beta) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 7)) (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 7)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 7) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 8)) (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 8)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 8) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 4)) (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 4)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 4) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- (+ (* +nan.0 (pow beta 2)) (- +nan.0)))) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (pow beta 2)) (- +nan.0))) in beta * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (pow beta 2)) (- +nan.0)) in beta * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- +nan.0) in beta * [misc]taylor: Taking taylor expansion of +nan.0 in beta * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (+ 0 (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (* 1 (* 1 i)) 4)) (+ (* (- +nan.0) (* beta (* alpha i))) (* (- +nan.0) (pow (* 1 (* 1 i)) 3)))) into (- (+ (* +nan.0 (* i (* beta alpha))) (- (+ (* +nan.0 (pow i 4)) (- (* +nan.0 (pow i 3))))))) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (/ 1 i) into (/ 1 i) * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 i) 1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 beta) (/ 1 alpha)) (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 beta) (/ 1 alpha)) in i * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 i) (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i))) in i * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (/ 1 i)) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (/ 1 alpha) into (/ 1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ 2 1) into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in beta * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (+ (/ 1 alpha) (/ 1 beta)) 0) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (+ (* 2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) 2) (+ (* 1/2 (/ 0 2)))) into (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 beta)) into (/ 1/2 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 beta)) into (* 1/2 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/2 in beta * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ 1 beta) (/ 1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 (+ (/ 1 alpha) (/ 1 beta))) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* 1/2 (/ (- (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))) (* 1/2 (/ 1 (* beta alpha)))) 2)) (* (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) (/ 0 2)))) into (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) * [misc]taylor: Taking taylor expansion of (- (* 1/8 (/ 1 (* beta alpha))) (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2))))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (- (* 1/16 (/ 1 (pow beta 2)))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/16 (/ 1 (pow beta 2))))) into (- (* 1/16 (/ 1 (pow beta 2)))) * [misc]taylor: Taking taylor expansion of (- (* 1/16 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (pow (* 1 (* 1 (/ 1 (/ 1 i)))) 2)) into (* 1/2 (pow i 2)) * [misc]approximate: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in (i alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of 2 in beta * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in beta * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in beta * [misc]taylor: Taking taylor expansion of (- alpha) in beta * [misc]taylor: Taking taylor expansion of alpha in beta * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in beta * [misc]taylor: Taking taylor expansion of (- beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in beta * [misc]taylor: Taking taylor expansion of (- i) in beta * [misc]taylor: Taking taylor expansion of i in beta * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 alpha) (/ 1 i)) into (+ (/ 1 alpha) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 alpha) (/ 1 i))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 alpha) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 alpha) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of 2 in alpha * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in alpha * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in alpha * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in alpha * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in alpha * [misc]taylor: Taking taylor expansion of (- alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in alpha * [misc]taylor: Taking taylor expansion of (- beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in alpha * [misc]taylor: Taking taylor expansion of (- i) in alpha * [misc]taylor: Taking taylor expansion of i in alpha * [misc]backup-simplify: Simplify i into i * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (- i) into (- i) * [misc]backup-simplify: Simplify (/ 1 (- i)) into (/ -1 i) * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (+ (/ 1 beta) (/ 1 i)) into (+ (/ 1 beta) (/ 1 i)) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (/ 1 beta) (/ 1 i)) (* 2 (sqrt 0))) into (* +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 (* +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (/ +nan.0 (+ (/ 1 beta) (/ 1 i))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 i) -1) into (/ 1 i) * [misc]backup-simplify: Simplify (/ (/ 1 i) (/ +nan.0 (+ (/ 1 beta) (/ 1 i)))) into (* +nan.0 (/ (+ (/ 1 beta) (/ 1 i)) i)) * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))))) in i * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of 2 in i * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))))) in i * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- beta)) (/ 1 (- alpha))) (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))))) in i * [misc]taylor: Taking taylor expansion of (* (/ 1 (- beta)) (/ 1 (- alpha))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- i)) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i)))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (/ 1 (- i))) in i * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- alpha)) (/ 1 (- beta))) in i * [misc]taylor: Taking taylor expansion of (/ 1 (- alpha)) in i * [misc]taylor: Taking taylor expansion of (- alpha) in i * [misc]taylor: Taking taylor expansion of alpha in i * [misc]backup-simplify: Simplify alpha into alpha * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (/ 1 (- alpha)) into (/ -1 alpha) * [misc]taylor: Taking taylor expansion of (/ 1 (- beta)) in i * [misc]taylor: Taking taylor expansion of (- beta) in i * [misc]taylor: Taking taylor expansion of beta in i * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (/ 1 (- beta)) into (/ -1 beta) * [misc]taylor: Taking taylor expansion of (/ 1 (- i)) in i * [misc]taylor: Taking taylor expansion of (- i) in i * [misc]taylor: Taking taylor expansion of i in i * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 0 (+ (/ 1 alpha) (/ 1 beta))) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (/ (+ (/ 1 alpha) (/ 1 beta)) (* 2 (sqrt 1))) into (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in alpha * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in beta * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1)) into (+ (/ 1 alpha) (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (/ -1 alpha) (/ -1 beta)) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (/ 1 alpha) (/ 1 beta))) 0) into (- (+ (/ 1 alpha) (/ 1 beta))) * [misc]backup-simplify: Simplify (- (/ (- (+ (/ 1 alpha) (/ 1 beta))) 1) (+ (* -2 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (+ (/ 1 alpha) (/ 1 beta)) -2) (+ (* -1/2 (/ 0 -2)))) into (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 alpha)) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 alpha) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 beta)) in alpha * [misc]taylor: Taking taylor expansion of 1/2 in alpha * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 beta)) into (/ 1/2 beta) * [misc]backup-simplify: Simplify (+ 0 (/ 1/2 beta)) into (* 1/2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 beta))) into (- (* 1/2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1/2 in beta * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 beta) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* (/ -1 beta) (/ -1 alpha)) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- alpha) into (- alpha) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 alpha) (/ 0 (- alpha))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- beta) into (- beta) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (- (+ (/ 1 alpha) (/ 1 beta)))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (* beta alpha)) 0) into (/ 1 (* beta alpha)) * [misc]backup-simplify: Simplify (/ (- (/ 1 (* beta alpha)) (pow (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 2) (+)) (* 2 1)) into (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ (* 1/2 (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2)))))) 1)) (* 0 (/ (* 1/2 (+ (/ 1 alpha) (/ 1 beta))) 1)))) into (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (* beta alpha))) (+ (* 1/4 (/ 1 (pow beta 2))) (* 1/4 (/ 1 (pow alpha 2))))) -2)) (* (- (+ (* 1/2 (/ 1 alpha)) (* 1/2 (/ 1 beta)))) (/ 0 -2)))) into (- (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) (* 1/8 (/ 1 (* beta alpha)))) * [misc]taylor: Taking taylor expansion of (- (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) (* 1/8 (/ 1 (* beta alpha)))) in alpha * [misc]taylor: Taking taylor expansion of (+ (* 1/16 (/ 1 (pow beta 2))) (* 1/16 (/ 1 (pow alpha 2)))) in alpha * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow beta 2) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]backup-simplify: Simplify (* beta beta) into (pow beta 2) * [misc]backup-simplify: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2)) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow alpha 2))) in alpha * [misc]taylor: Taking taylor expansion of 1/16 in alpha * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha * [misc]taylor: Taking taylor expansion of (pow alpha 2) in alpha * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 1/8 (/ 1 (* beta alpha))) in alpha * [misc]taylor: Taking taylor expansion of 1/8 in alpha * [misc]backup-simplify: Simplify 1/8 into 1/8 * [misc]taylor: Taking taylor expansion of (/ 1 (* beta alpha)) in alpha * [misc]taylor: Taking taylor expansion of (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion of alpha in alpha * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (/ 1 beta) into (/ 1 beta) * [misc]backup-simplify: Simplify (* 1/16 (/ 1 (pow beta 2))) into (/ 1/16 (pow beta 2)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/16 (pow beta 2)) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]backup-simplify: Simplify (+ (* beta 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/8 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 (/ 1 (pow beta 2))) 0) into (* 1/16 (/ 1 (pow beta 2))) * [misc]taylor: Taking taylor expansion of (* 1/16 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 1/16 in beta * [misc]backup-simplify: Simplify 1/16 into 1/16 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]taylor: Taking taylor expansion of beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/16 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 beta))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (pow (* 1 (* 1 (/ 1 (/ 1 (- i))))) 2)) into (* -1/2 (pow i 2)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (* i (+ (+ alpha beta) i))) (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (log (+ (* 2 i) (+ beta alpha))) (log (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ i beta) alpha) i)) (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (* (+ i beta) (+ alpha i)))))) (+ (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (* (+ i beta) (+ alpha i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ i beta) alpha) i)) (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (* (+ i beta) (+ alpha i)))))) (+ (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (* (+ i beta) (+ alpha i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))))) * * * * [misc]progress: [ 3 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (* i (+ (+ alpha beta) i))) (- (log (+ (+ alpha beta) (* 2 i))) (log (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (log (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))))) * * * * [misc]progress: [ 4 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (* i (+ (+ alpha beta) i))) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (log (+ (* 2 i) (+ beta alpha))) (log (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))))) * * * * [misc]progress: [ 5 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (* i (+ (+ alpha beta) i))) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (log (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))))) * * * * [misc]progress: [ 6 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (- (log (+ (* 2 i) (+ beta alpha))) (log (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (- (log (* (+ (+ i beta) alpha) i)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (+ (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))))) * * * * [misc]progress: [ 7 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (log (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (- (log (* (sqrt (* (+ alpha i) (+ i beta))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (+ (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (log (* (sqrt (* (+ alpha i) (+ i beta))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (+ (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (log (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 8 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (- (log (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (exp (- (log (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (log (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 9 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* 2 i) (+ beta alpha))) (* (* (sqrt (* (+ beta i) (+ alpha i))) (sqrt (* (+ beta i) (+ alpha i)))) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (128 enodes) * [exit]simplify: Simplified to (/ (* (/ (* (* (+ alpha (+ i beta)) i) (* (+ alpha (+ i beta)) i)) (/ (pow (+ (+ alpha beta) (* i 2)) 3) (* (+ alpha (+ i beta)) i))) (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* i 2)) (* (+ i beta) (+ alpha i))))) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (* (/ (* (* (+ alpha (+ i beta)) i) (* (+ alpha (+ i beta)) i)) (/ (pow (+ (+ alpha beta) (* i 2)) 3) (* (+ alpha (+ i beta)) i))) (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* i 2)) (* (+ i beta) (+ alpha i))))) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))))) * * * * [misc]progress: [ 12 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (/ (* (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i))) (* (* (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (* (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (111 enodes) * [exit]simplify: Simplified to (/ (/ (/ (pow (* (+ (+ alpha i) beta) i) 3) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (pow (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) 3) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (/ (/ (pow (* (+ (+ alpha i) beta) i) 3) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (pow (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) 3) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))))) * * * * [misc]progress: [ 13 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* 2 i) (+ beta alpha))) (* (* (sqrt (* (+ beta i) (+ alpha i))) (sqrt (* (+ beta i) (+ alpha i)))) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (122 enodes) * [exit]simplify: Simplified to (/ (/ (* (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (* (/ (+ (* i 2) (+ alpha beta)) (* (+ alpha i) (+ i beta))) (/ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) (sqrt (* (+ alpha i) (+ i beta))))) (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (pow (- (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) 1.0) 3)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (/ (* (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (* (/ (+ (* i 2) (+ alpha beta)) (* (+ alpha i) (+ i beta))) (/ (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) (sqrt (* (+ alpha i) (+ i beta))))) (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (pow (- (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) 1.0) 3)))) * * * * [misc]progress: [ 14 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (* i (+ (+ alpha beta) i)) (* i (+ (+ alpha beta) i))) (* i (+ (+ alpha beta) i))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (* (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (106 enodes) * [exit]simplify: Simplified to (* (/ (* (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (pow (- (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) 1.0) 3)) (/ (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (pow (/ (+ (* i 2) (+ alpha beta)) (sqrt (* (+ i beta) (+ alpha i)))) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (* (/ (* (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (pow (- (* (+ (* i 2) (+ alpha beta)) (+ (* i 2) (+ alpha beta))) 1.0) 3)) (/ (* (/ (* (+ (+ i beta) alpha) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (pow (/ (+ (* i 2) (+ alpha beta)) (sqrt (* (+ i beta) (+ alpha i)))) 3))))) * * * * [misc]progress: [ 15 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* 2 i) (+ beta alpha))) (* (* (sqrt (* (+ beta i) (+ alpha i))) (sqrt (* (+ beta i) (+ alpha i)))) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (110 enodes) * [exit]simplify: Simplified to (/ (pow (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) 3) (* (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (* (+ i beta) (+ alpha i)))) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (pow (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) 3) (* (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (* (+ i beta) (+ alpha i)))) (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3))))) * * * * [misc]progress: [ 16 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (* (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (95 enodes) * * [misc]simplify: iters left: 4 (476 enodes) * [exit]simplify: Simplified to (/ (pow (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2))) 3) (* (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3) (pow (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (/ (pow (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2))) 3) (* (pow (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) 3) (pow (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) 3))))) * * * * [misc]progress: [ 17 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (* (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (406 enodes) * [exit]simplify: Simplified to (pow (/ (/ (* (+ (+ alpha beta) i) i) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (cbrt (pow (/ (/ (* (+ (+ alpha beta) i) i) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) 3))) * * * * [misc]progress: [ 18 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 2943 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (296 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 23 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (284 enodes) * [exit]simplify: Simplified to (* (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 24 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (368 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i)))) (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i)))) (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i))))) (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i)))) (cbrt (* (/ (/ i (+ (+ alpha beta) (* i 2))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (* (+ i beta) (+ alpha i))))) (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * * * * [misc]progress: [ 25 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 26 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (266 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 27 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (* (+ i beta) (+ alpha i))))) (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) (* (+ i beta) (+ alpha i))))) (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * * * * [misc]progress: [ 28 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 29 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 30 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) i))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 31 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 32 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 33 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 34 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 35 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 36 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (455 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 37 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 38 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 39 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta)))) (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta)))) (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta)))) (cbrt (* (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 40 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 41 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 42 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 43 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 44 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 45 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2)))))))) * * * * [misc]progress: [ 46 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 47 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 48 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha))) (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha))) (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha))) (cbrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ i (+ (+ alpha beta) (* i 2)))) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 49 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 50 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 51 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)))) (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)))) (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)))) (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta))))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 52 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 53 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 54 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (267 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 55 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 56 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 57 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (237 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (sqrt (+ (* i 2) (+ alpha beta)))) (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (sqrt (+ (* i 2) (+ alpha beta)))) (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (sqrt (+ (* i 2) (+ alpha beta)))) (cbrt (* (/ (* (+ (+ alpha beta) i) i) (+ (* i 2) (+ alpha beta))) (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (cbrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2)))))))) * * * * [misc]progress: [ 58 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 59 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 60 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))))) * * * * [misc]progress: [ 61 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 62 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 63 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * * [misc]simplify: iters left: 2 (390 enodes) * [exit]simplify: Simplified to (* (* (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta)))) (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta))))) (sqrt (+ i beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta)))) (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta))))) (sqrt (+ i beta))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta)))) (cbrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ alpha i) beta))))) (sqrt (+ i beta))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 64 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 65 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 66 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * * [misc]simplify: iters left: 2 (423 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))))) (/ (cbrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))))) * * * * [misc]progress: [ 67 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 68 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 69 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) i) (/ (/ (+ (+ alpha beta) (* i 2)) i) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (cbrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 70 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 71 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 72 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (cbrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i)))) (/ (cbrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 73 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (+ (+ alpha beta) (* i 2))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (+ (+ alpha beta) (* i 2))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 74 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (+ (+ alpha beta) (* i 2))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (+ (+ alpha beta) (* i 2))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 75 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (+ (* i 2) (+ alpha beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (+ (* i 2) (+ alpha beta))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (* i 2) (+ alpha beta))) (+ alpha (+ i beta))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (+ (* i 2) (+ alpha beta))) (/ (cbrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 76 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 77 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 78 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (cbrt (/ (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 79 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i)))) (+ (+ alpha beta) (* i 2))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 80 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 81 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (408 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (cbrt (/ (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))))) (/ (cbrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 82 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* i 2))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 83 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (/ (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (/ (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 84 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha))))) (/ (+ (+ alpha beta) (* i 2)) (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha))))) (/ (+ (+ alpha beta) (* i 2)) (cbrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 85 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 86 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- alpha i)) (- (* beta beta) (* i i)))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- alpha i)) (- (* beta beta) (* i i)))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 87 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (471 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (* (* i (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i)))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 88 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (262 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 89 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (+ (+ alpha beta) (* i 2)))) (cbrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (+ (+ alpha beta) (* i 2)))) (cbrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 90 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (393 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (+ (+ alpha beta) (* i 2)) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (+ (+ alpha beta) (* i 2)) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (+ (+ alpha beta) (* i 2)) (cbrt (* (+ (+ i beta) alpha) (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 91 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta)))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta)))))) (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 92 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (- (* alpha alpha) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (- (* alpha alpha) (* i i))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 93 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (379 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- alpha i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- alpha i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 94 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (/ (cbrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 95 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 96 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (381 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta)))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (cbrt (/ (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ alpha (+ i beta)))))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 97 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (cbrt (* (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta))))))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 98 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))))) (/ (cbrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))))) (/ (cbrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 99 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (430 enodes) * [exit]simplify: Simplified to (* (* (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i)) (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i))) (/ (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i)) (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i))) (/ (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- beta i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i)) (cbrt (* (* (sqrt (* (+ alpha i) (+ i beta))) (/ (+ beta (+ alpha i)) (+ (+ alpha beta) (* 2 i)))) i))) (/ (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta))) (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- beta i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 100 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 101 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 102 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* i (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* i (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (* i (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2)))) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 103 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (* (+ alpha i) (+ i beta))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 104 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 105 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (348 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) i))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) i))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) i))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (* (+ alpha i) (+ i beta))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))))) * * * * [misc]progress: [ 106 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 107 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 108 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ i beta) alpha))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ i beta) alpha))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ i beta) alpha))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 109 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (/ (+ (+ i beta) alpha) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 110 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 111 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (481 enodes) * [exit]simplify: Simplified to (* (sqrt (* (/ (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) (* i 2))) (* (+ (+ i beta) alpha) i))) (/ (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* i 2)))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (* (/ (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) (* i 2))) (* (+ (+ i beta) alpha) i))) (/ (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* i 2)))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (* (/ (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) (* i 2))) (* (+ (+ i beta) alpha) i))) (/ (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* i 2)))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 112 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (* (+ (+ i beta) alpha) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 113 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 114 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 115 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 116 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 117 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (395 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ alpha (+ i beta)) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* (+ alpha (+ i beta)) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* (+ alpha (+ i beta)) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* i 2)))))))) * * * * [misc]progress: [ 118 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (sqrt (+ (+ alpha beta) (* i 2)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (sqrt (+ (+ alpha beta) (* i 2)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (sqrt (+ (+ alpha beta) (* i 2)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 119 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 120 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (251 enodes) * [exit]simplify: Simplified to (* (sqrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (* (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i) (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 121 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (sqrt (+ i beta))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (sqrt (+ i beta))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 122 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ i beta))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 123 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (379 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (/ (sqrt (* (+ alpha i) (+ i beta))) (/ (/ (+ (+ alpha beta) (* i 2)) i) (+ (+ i beta) alpha)))) (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) i))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 124 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)) (/ (+ (+ alpha beta) (* i 2)) i))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 125 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (* (sqrt (* (+ i beta) (+ alpha i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 126 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * * [misc]simplify: iters left: 2 (417 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) i)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) i)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))) i)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 127 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 128 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) (+ (+ i beta) alpha)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i)))))))) * * * * [misc]progress: [ 129 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (+ (+ alpha beta) (* i 2)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ i (/ (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (+ (+ alpha beta) (* i 2)))) (/ (sqrt (/ (* (* (+ (+ i beta) alpha) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* i 2)))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (/ (sqrt (* (+ i beta) (+ alpha i))) (sqrt (+ (+ alpha beta) (* i 2)))))))) * * * * [misc]progress: [ 130 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 131 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 132 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (220 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (* i (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (* i (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (* i (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))))) * * * * [misc]progress: [ 133 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ i beta)) (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 134 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ i beta)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))))))) * * * * [misc]progress: [ 135 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (* (sqrt (+ i beta)) (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (+ i beta)) (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (+ i beta)) (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ alpha i))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 136 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 137 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (/ (* i (sqrt (* (+ alpha i) (+ i beta)))) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2))))))) * * * * [misc]progress: [ 138 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) i)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ i beta) (+ alpha i))) i)))) (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* i 2)))) (* (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (+ (+ alpha beta) (* i 2)))))) * * * * [misc]progress: [ 139 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 140 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (153 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 141 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (sqrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) i)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (sqrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) i)) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (sqrt (* (* (sqrt (* (+ i beta) (+ alpha i))) (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2)))) i)) (/ (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 142 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 143 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ i (+ (+ alpha beta) (* i 2))) (* (sqrt (* (+ alpha i) (+ i beta))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))))) * * * * [misc]progress: [ 144 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i))) i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (sqrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i))) i))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (sqrt (/ (sqrt (* (+ i beta) (+ alpha i))) (/ (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i))) i))) (/ (sqrt (/ (* (+ (+ alpha beta) i) i) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 145 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ beta (+ alpha i)))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 146 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 147 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (434 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (+ (+ alpha beta) (* i 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (+ (+ alpha beta) (* i 2))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (+ i beta) (+ alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ alpha i) (+ i beta))) i) (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i)))) (+ (+ alpha beta) (* i 2))) (/ (sqrt (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta))))) (/ (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (+ i beta) (+ alpha i))))))) * * * * [misc]progress: [ 148 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 149 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* (- i beta) i) (* beta beta)) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 150 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ (+ i beta) alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ (+ i beta) alpha))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (246 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) i) (+ (+ i beta) alpha))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 151 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow i 3) (pow beta 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ alpha (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow i 3) (pow beta 3)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 152 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ alpha (+ i beta)) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 153 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (* (/ i (/ (+ (+ alpha beta) (* 2 i)) (+ (+ alpha i) beta))) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (* (/ i (/ (+ (+ alpha beta) (* 2 i)) (+ (+ alpha i) beta))) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i))) (sqrt (* (/ i (/ (+ (+ alpha beta) (* 2 i)) (+ (+ alpha i) beta))) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (sqrt (* (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 154 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3))))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3))))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 155 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 156 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha i) beta)))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))))))) * * * * [misc]progress: [ 157 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ beta (+ alpha i))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 158 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (* (/ (+ (+ alpha i) beta) (+ (+ alpha beta) (* i 2))) i) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 159 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (428 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (sqrt (* (+ i beta) (+ alpha i))) (+ alpha (+ i beta))) (/ (+ (+ alpha beta) (* i 2)) i))) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 160 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 161 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) i))))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ alpha beta) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 162 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (348 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ i beta) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ i beta) alpha))))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i alpha) i) (* alpha alpha))))))) * * * * [misc]progress: [ 163 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2)))) (/ (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (/ (+ (+ alpha i) beta) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2)))) (/ (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 164 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (/ i (/ (+ (+ alpha beta) (* i 2)) (+ (+ alpha i) beta))) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 165 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (+ (+ alpha beta) (* i 2))) (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (+ i beta)))) i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (+ (+ alpha beta) (* i 2))) (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (+ i beta)))) i))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- alpha i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (+ (+ alpha beta) (* i 2))) (sqrt (* (* (/ (+ (+ alpha beta) i) (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (+ i beta)))) i))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- alpha i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 166 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 167 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (/ (+ beta (+ alpha i)) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 168 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (334 enodes) * [exit]simplify: Simplified to (* (sqrt (* (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (* (+ beta (+ alpha i)) (/ i (+ (+ alpha beta) (* i 2)))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (* (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (* (+ beta (+ alpha i)) (/ i (+ (+ alpha beta) (* i 2)))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (+ (+ alpha beta) (* i 2)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i beta) i) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (* (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta)))) (* (+ beta (+ alpha i)) (/ i (+ (+ alpha beta) (* i 2)))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (+ (+ alpha beta) (* i 2)))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))) (* (/ i (+ (+ alpha beta) (* i 2))) (+ (+ i beta) alpha)))) (* (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0) (sqrt (+ (* (- i beta) i) (* beta beta))))))) * * * * [misc]progress: [ 169 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (241 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (- beta i) (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (- beta i) (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) (/ (sqrt (* (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))) (/ (+ (+ alpha beta) i) (/ (+ (+ alpha beta) (* i 2)) i)))) (* (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)) (+ (+ alpha beta) (* i 2))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (cbrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 170 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- beta i)) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (sqrt (* (* (/ i (+ (+ alpha beta) (* i 2))) (+ alpha (+ i beta))) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (* (+ i beta) (- beta i)) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (/ (+ alpha (+ i beta)) (/ (+ (+ alpha beta) (* i 2)) i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (sqrt (- beta i)) (sqrt (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 171 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (384 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))))) (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (* i (+ (+ alpha beta) i)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- beta i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))) (sqrt (/ (* (* (+ (+ alpha beta) i) i) (sqrt (* (+ alpha i) (+ i beta)))) (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (* (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))) (* (/ (+ (+ i beta) alpha) (+ (+ alpha beta) (* i 2))) i))) (* (sqrt (- beta i)) (- (* (+ (+ alpha beta) (* i 2)) (+ (+ alpha beta) (* i 2))) 1.0))))) * * * * [misc]progress: [ 172 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 173 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 174 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 175 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 176 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 177 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 178 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 179 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 180 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (454 enodes) * [exit]simplify: Simplified to (/ (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 181 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 182 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 183 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 184 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 185 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 186 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 187 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (205 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 188 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 189 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 190 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 191 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 192 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 193 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 194 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 195 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (sqrt (+ i beta)) (sqrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 196 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 197 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 198 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (/ (* i (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 199 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ i (* (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 200 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 201 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (322 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 202 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 203 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (* i (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 204 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 205 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ i (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 206 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 207 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (+ alpha (+ beta i)) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (+ i beta)))) (/ (+ alpha (+ beta i)) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))))) * * * * [misc]progress: [ 208 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 209 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ i (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 210 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 211 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 212 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 213 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 214 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (158 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 215 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * [exit]simplify: Simplified to (/ i (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 216 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (+ (+ i alpha) beta) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 217 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (+ (+ alpha beta) (* 2 i))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (+ (+ alpha beta) (* 2 i))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 218 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 219 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * * * * [misc]progress: [ 220 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 221 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (248 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 222 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (170 enodes) * * [misc]simplify: iters left: 3 (423 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))))) (/ (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * * * * [misc]progress: [ 223 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 224 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 225 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (375 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 226 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 227 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 228 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- (* i i) (* alpha (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (/ (+ i (+ beta alpha)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- (* i i) (* alpha (- i alpha))))))))) * * * * [misc]progress: [ 229 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 230 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (+ alpha i) (- alpha i)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (+ alpha i) (- alpha i)) (- (* beta beta) (* i i)))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 231 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * * [misc]simplify: iters left: 3 (440 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i))))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i))))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta i) alpha) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (* (+ i beta) (- alpha i)) (* (- beta i) (+ alpha i))))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ beta i) alpha) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 232 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 233 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta))) (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 234 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (365 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (+ alpha (+ beta i)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ i beta)))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (+ alpha (+ beta i)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))))) * * * * [misc]progress: [ 235 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (/ i (* (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 236 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (- (* alpha alpha) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (- (* alpha alpha) (* i i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 237 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (- alpha i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ i beta) (* (+ alpha i) (- alpha i))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (- alpha i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))))) * * * * [misc]progress: [ 238 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 239 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 240 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (+ alpha (+ beta i)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i beta)) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))))) (/ (/ (+ alpha (+ beta i)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i beta)) (* beta beta))))))) * * * * [misc]progress: [ 241 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))))) (* (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ i beta) (* (+ alpha i) (- beta i))))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))))) (* (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ i beta) (* (+ alpha i) (- beta i))))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 242 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- beta i) (* (+ alpha i) (+ i beta)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 243 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (400 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (+ alpha i) (- beta i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (+ alpha i) (- beta i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (- beta i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (+ alpha i) (- beta i)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (- beta i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))))) * * * * [misc]progress: [ 244 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 245 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 246 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 247 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 248 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 249 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 250 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 251 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 252 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 253 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 254 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 255 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 256 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 257 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 258 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 259 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 260 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 261 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (106 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 262 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 263 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 264 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 265 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 266 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 267 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * * [misc]simplify: iters left: 1 (496 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ i beta)) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 268 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 269 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (202 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 270 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 271 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 272 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 273 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (227 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 274 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 275 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 276 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (331 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* i (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* i (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* i (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 277 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 278 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (175 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 279 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* i (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (+ alpha (+ beta i)) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (sqrt (+ i beta))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (+ alpha (+ beta i)) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))))))))) * * * * [misc]progress: [ 280 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 281 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i))))))))) * * * * [misc]progress: [ 282 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (197 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 283 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 284 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 285 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 286 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (151 enodes) * [exit]simplify: Simplified to (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 287 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha i) i) (* beta (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha i) i) (* beta (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha i) i) (* beta (+ alpha i))))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 288 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (+ (+ i alpha) beta) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (* (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 289 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 290 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 291 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * * * * [misc]progress: [ 292 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 293 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (244 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (sqrt (* (- (* i i) (* beta (- i beta))) (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 294 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (412 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (+ (+ alpha beta) (* i 2))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * * * * [misc]progress: [ 295 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 296 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 297 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (360 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (- (* alpha alpha) (* i i)) (+ (pow i 3) (pow beta 3)))))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 298 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 299 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (81 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (/ i (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))) (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))) (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i))))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 300 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow i 3) (pow alpha 3)))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- (* i i) (* alpha (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (/ (+ i (+ beta alpha)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- (* i i) (* alpha (- i alpha))))))))) * * * * [misc]progress: [ 301 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (234 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 302 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (221 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (* (- beta i) (- alpha i)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 303 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (140 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (* (- alpha i) (+ i beta)) (* (- beta i) (+ alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (* (- alpha i) (+ i beta)) (* (- beta i) (+ alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta i) alpha) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (* (- alpha i) (+ i beta)) (* (- beta i) (+ alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ (+ beta i) alpha) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 304 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 305 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 306 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (347 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (+ alpha (+ beta i)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (+ alpha (+ beta i)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))))) * * * * [misc]progress: [ 307 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 308 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- alpha i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 309 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * * [misc]simplify: iters left: 3 (326 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (- alpha i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (/ i (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (+ (+ i alpha) beta) (sqrt (- alpha i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))))) * * * * [misc]progress: [ 310 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (236 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 311 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (223 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i beta)) (* beta beta)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 312 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (/ (/ (+ alpha (+ beta i)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i beta)) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (+ alpha (+ beta i)) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* i (- i beta)) (* beta beta))))))) * * * * [misc]progress: [ 313 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 314 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ i (+ beta alpha)) (* (* (sqrt (- beta i)) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))))))) * * * * [misc]progress: [ 315 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (380 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (* (+ alpha i) (+ i beta)) (- beta i))) (/ i (+ (+ alpha beta) (* i 2)))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (* (+ alpha i) (+ i beta)) (- beta i))) (/ i (+ (+ alpha beta) (* i 2)))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ i alpha) beta) (sqrt (- beta i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (* (+ alpha i) (+ i beta)) (- beta i))) (/ i (+ (+ alpha beta) (* i 2)))) (sqrt (/ (+ (+ alpha beta) (* i 2)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (+ (+ i alpha) beta) (sqrt (- beta i))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i))))))))) * * * * [misc]progress: [ 316 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 317 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 318 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (410 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 319 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (282 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 320 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (277 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 321 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (344 enodes) * [exit]simplify: Simplified to (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 322 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 323 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (328 enodes) * [exit]simplify: Simplified to (* (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 324 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 325 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 326 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 327 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta)))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta)))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 328 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 329 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (302 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 330 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 331 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (294 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 332 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (280 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 333 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * * [misc]simplify: iters left: 3 (458 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (+ (* i (+ i beta)) (* alpha (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 334 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (317 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 335 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (304 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 336 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * * [misc]simplify: iters left: 3 (498 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 337 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 338 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (269 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 339 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (411 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (sqrt (+ (+ alpha beta) (* 2 i))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (sqrt (+ (+ alpha beta) (* 2 i))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (sqrt (+ (+ alpha beta) (* 2 i))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 340 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 341 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (288 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 342 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ i (sqrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 343 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 344 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) i) (* (* (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) i) (* (* (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 345 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 346 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 347 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 348 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (409 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i)) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i)) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) i)) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 349 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 350 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 351 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (332 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 352 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 353 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 354 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (362 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 355 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 356 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 357 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 358 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 359 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 360 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (269 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i))))) (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i))))) (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i))))) (cbrt (sqrt (+ (* i (+ alpha i)) (* beta (+ alpha i)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (cbrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 361 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (+ (+ alpha beta) (* 2 i))) (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (+ (+ alpha beta) (* 2 i))) (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 362 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 363 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i)))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (* (cbrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 364 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (341 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 365 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (331 enodes) * [exit]simplify: Simplified to (/ (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 366 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (cbrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))))) * * * * [misc]progress: [ 367 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 368 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta)))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta)))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 369 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 370 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (96 enodes) * * [misc]simplify: iters left: 4 (356 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 371 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (342 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))))) (* (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 372 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 373 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (322 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 374 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (305 enodes) * [exit]simplify: Simplified to (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (+ i beta) (- beta i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (+ i beta) (- beta i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 375 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (cbrt (sqrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) (* (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 376 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (336 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 377 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (* (+ (+ alpha beta) (* 2 i)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 378 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))))) * * * * [misc]progress: [ 379 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (+ i beta)) (- alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (+ i beta)) (- alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 380 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (295 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 381 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))))) (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 382 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (92 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 383 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 384 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (/ (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))) (cbrt (sqrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) (/ (* (+ i (+ beta alpha)) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 385 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ alpha i) (* (+ i beta) (- beta i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (cbrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (cbrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i))))) (/ (+ (+ alpha beta) (* 2 i)) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ alpha i) (* (+ i beta) (- beta i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 386 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (318 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))) (cbrt (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))) (cbrt (sqrt (+ (* (+ i beta) alpha) (* (+ i beta) i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (cbrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 387 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta)))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 388 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 389 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (270 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 390 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * * [misc]simplify: iters left: 3 (319 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 391 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 392 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (256 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 393 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (280 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 394 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (327 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) i) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) i) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) i) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 395 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (311 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ alpha i) (+ i beta))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 396 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (* (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 397 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 398 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ i beta)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 399 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * * [misc]simplify: iters left: 3 (401 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ i beta)) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta)))))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 400 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (301 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 401 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (fabs (cbrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 402 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ alpha i) (+ i beta)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3) (sqrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 403 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (273 enodes) * [exit]simplify: Simplified to (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 404 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (263 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 405 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (346 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 406 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (299 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 407 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (281 enodes) * [exit]simplify: Simplified to (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 408 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 409 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 410 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 411 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (/ (/ (* i (sqrt (+ i beta))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (* i (sqrt (+ i beta))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (* i (sqrt (+ i beta))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 412 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (283 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 413 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 414 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 415 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 416 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 417 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (273 enodes) * [exit]simplify: Simplified to (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ i beta) i) (* alpha (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ i beta) i) (* alpha (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* (+ i beta) i) (* alpha (+ i beta)))))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 418 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (233 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 419 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 420 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (148 enodes) * * [misc]simplify: iters left: 3 (333 enodes) * [exit]simplify: Simplified to (/ i (/ (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (/ (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (cbrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (/ (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (cbrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 421 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (/ (/ (* (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 422 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (185 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (* (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 423 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (243 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (fabs (cbrt (+ (* (+ alpha i) i) (* beta (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 424 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 425 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 426 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (cbrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (cbrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 427 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 428 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 429 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i)))))) (/ (* (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 430 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 431 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * * * * [misc]progress: [ 432 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) 1) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (* (+ i beta) (+ alpha i)))) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (sqrt (cbrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 433 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (257 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 434 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (249 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 435 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (313 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (fabs (cbrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (sqrt (cbrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 436 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (326 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i)))))))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 437 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (312 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3))))))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 438 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) i) (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) i) (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) i) (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (+ (pow alpha 3) (pow i 3)) (+ (pow i 3) (pow beta 3)))))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (cbrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))))) * * * * [misc]progress: [ 439 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))) (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* i i) (* beta alpha)))))))) (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 440 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (286 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i))))))) (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 441 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (495 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) (fabs (cbrt (+ (* i (+ i beta)) (* alpha (+ i beta))))))) (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 442 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (93 enodes) * * [misc]simplify: iters left: 4 (337 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (- (* beta beta) (* i i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 443 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (324 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 444 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i i)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta))))))) (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 445 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (+ i beta) (- beta i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (+ i beta) (- beta i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (+ i beta) (- beta i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 446 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (- (* beta beta) (* i i))))))) (* (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 447 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (- beta i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (- beta i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (- (* alpha alpha) (* i i)) (* (- beta i) (+ i beta))))))) (* (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 448 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (88 enodes) * * [misc]simplify: iters left: 4 (321 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 449 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 450 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * * [misc]simplify: iters left: 3 (482 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (* (+ i beta) (+ alpha i))))) (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ i beta))))) (/ (/ (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))))) * * * * [misc]progress: [ 451 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (290 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- alpha i) (+ i beta))))))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 452 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (278 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))))) (/ (fabs (cbrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 453 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * * [misc]simplify: iters left: 3 (459 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 454 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (89 enodes) * * [misc]simplify: iters left: 4 (306 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* i (+ alpha beta)) (+ (* beta alpha) (* i i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 455 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (291 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (fabs (cbrt (+ (+ (* i i) (* beta alpha)) (* i (+ alpha beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3))))))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 456 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * * [misc]simplify: iters left: 3 (470 enodes) * [exit]simplify: Simplified to (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3)))))) (/ (fabs (cbrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3)))))) (/ (fabs (cbrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow i 3) (pow beta 3)))))) (/ (fabs (cbrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (+ i (+ beta alpha)) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 457 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (313 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (- (* beta beta) (* i i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (- (* beta beta) (* i i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (fabs (cbrt (+ (* (+ i beta) alpha) (* (+ i beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (- (* beta beta) (* i i)))))))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 458 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (300 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (fabs (cbrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (cbrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 459 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (cbrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ alpha i) (* (- beta i) (+ i beta))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (fabs (cbrt (+ (* alpha (+ i beta)) (* i (+ i beta))))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (cbrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 460 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 461 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 462 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 463 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 464 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 465 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 466 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 467 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 468 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 469 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 470 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 471 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 472 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 473 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 474 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 475 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 476 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 477 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 478 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 479 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 480 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 481 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 482 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 483 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 484 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 485 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 486 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 487 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 488 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 489 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 490 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 491 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 492 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 493 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (sqrt (+ i beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (sqrt (+ i beta))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 494 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 495 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 496 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 497 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 498 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 499 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 500 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 501 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 502 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 503 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 504 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 505 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 506 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (+ alpha beta) (* 2 i))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (+ alpha beta) (* 2 i))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 507 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 508 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 509 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 510 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))))) * * * * [misc]progress: [ 511 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (* (* (- alpha i) (+ alpha i)) (+ (pow beta 3) (pow i 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (* (* (- alpha i) (+ alpha i)) (+ (pow beta 3) (pow i 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 512 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 513 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 514 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 515 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 516 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 517 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 518 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 519 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (* (+ i beta) (- beta i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (* (+ i beta) (- beta i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 520 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 521 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 522 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))))) * * * * [misc]progress: [ 523 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 524 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 525 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 526 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 527 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 528 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 529 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 530 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- beta i) (+ alpha i)) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- beta i) (+ alpha i)) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 531 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 532 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 533 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 534 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 535 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 536 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 537 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (198 enodes) * * [misc]simplify: iters left: 2 (430 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 538 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 539 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 540 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (421 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 541 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 542 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 543 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (216 enodes) * [exit]simplify: Simplified to (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 544 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 545 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) i) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 546 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (125 enodes) * * [misc]simplify: iters left: 3 (288 enodes) * [exit]simplify: Simplified to (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 547 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ 1 (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ 1 (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ 1 (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 548 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 549 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (88 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * * [misc]simplify: iters left: 1 (486 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 550 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 551 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 552 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 553 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (+ i beta)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 554 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 555 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * [exit]simplify: Simplified to (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))))) * * * * [misc]progress: [ 556 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 557 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 558 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 559 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 560 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 561 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (296 enodes) * [exit]simplify: Simplified to (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 562 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 563 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 564 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (256 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 565 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 566 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 567 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ i beta)) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 568 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 569 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 570 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (* i (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* i (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* i (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 571 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 572 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (466 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 573 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 574 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 575 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 576 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) 1) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 577 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 578 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 579 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (431 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (* (sqrt (* (+ beta i) (+ i alpha))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 580 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))))))) * * * * [misc]progress: [ 581 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha))))))))) * * * * [misc]progress: [ 582 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (419 enodes) * [exit]simplify: Simplified to (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow i 3) (pow beta 3))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (+ (+ beta i) alpha) (sqrt (* (+ (* i (- i beta)) (* beta beta)) (- (* i i) (* alpha (- i alpha)))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i i)) (* (+ beta alpha) i)))))))) * * * * [misc]progress: [ 583 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))))) * * * * [misc]progress: [ 584 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i))))) (/ (/ (+ i (+ beta alpha)) (sqrt (* (- (* i i) (* beta (- i beta))) (- alpha i)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))))))) * * * * [misc]progress: [ 585 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (* (/ i (* (+ (+ alpha beta) (* i 2)) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* i 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (+ (+ alpha beta) (* i 2)) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (+ (+ alpha beta) (* i 2)) (cbrt (+ (+ alpha beta) (* i 2))))) (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (* (- alpha i) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* i 2))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* (- i beta) i) (* beta beta)) (- alpha i))))))) * * * * [misc]progress: [ 586 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (* (+ i beta) (- beta i)) (+ (pow i 3) (pow alpha 3)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 587 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) (* (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 588 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (/ (/ (* (+ i (+ beta alpha)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (* (* (- beta i) (+ i beta)) (+ (pow i 3) (pow alpha 3))))) (/ (/ (* (+ i (+ beta alpha)) (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha)))))))) * * * * [misc]progress: [ 589 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (* (+ i beta) (- beta i)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (* (+ i beta) (- beta i)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (* (+ i beta) (- beta i)) (* (+ alpha i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 590 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (- beta i) (+ i beta)) (- (* alpha alpha) (* i i)))) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (- beta i) (+ i beta)) (- (* alpha alpha) (* i i)))) (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (* (* (- beta i) (+ i beta)) (- (* alpha alpha) (* i i)))) (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 591 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (438 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (176 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (* (- beta i) (- alpha i)) (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (+ (+ alpha beta) (* 2 i)))) (/ i (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 592 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))))) * * * * [misc]progress: [ 593 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3))))) (/ (/ (+ i (+ beta alpha)) (sqrt (+ (* i (- i alpha)) (* alpha alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i))))))))) * * * * [misc]progress: [ 594 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3)))) (+ (+ alpha beta) (* 2 i))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3)))) (+ (+ alpha beta) (* 2 i))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ i beta) (+ (pow alpha 3) (pow i 3)))) (+ (+ alpha beta) (* 2 i))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* i (- i alpha)) (* alpha alpha))))))) * * * * [misc]progress: [ 595 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- alpha i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (- alpha i) (* (+ i beta) (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- alpha i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 596 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- alpha i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i)))) (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- alpha i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 597 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i)))))) * * * * [misc]progress: [ 598 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (206 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (+ (* i (- i beta)) (* beta beta))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (+ (* i (- i beta)) (* beta beta))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 599 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (+ (* i (- i beta)) (* beta beta))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i)))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (sqrt (+ (* i (- i beta)) (* beta beta))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 600 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (352 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) i) (* (+ (+ alpha beta) (* i 2)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) i) (* (+ (+ alpha beta) (* i 2)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* i (- i beta)) (* beta beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (* (+ (pow i 3) (pow beta 3)) (+ alpha i))) i) (* (+ (+ alpha beta) (* i 2)) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* i (- i beta)) (* beta beta))))))) * * * * [misc]progress: [ 601 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- beta i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- beta i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- beta i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (* (+ alpha i) (* (+ i beta) (- beta i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- beta i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 602 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (203 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- beta i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))))) (/ (* (/ (/ (+ i (+ beta alpha)) (sqrt (- beta i))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 603 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt 1))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (406 enodes) * [exit]simplify: Simplified to (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (+ (+ alpha beta) (* 2 i))) (/ (sqrt (* (+ i beta) (* (- beta i) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i)))))) * * * * [misc]progress: [ 604 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 605 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 606 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 607 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i)))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 608 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 609 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (257 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 610 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (267 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 611 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (254 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 612 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (180 enodes) * [exit]simplify: Simplified to (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 613 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 614 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 615 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * * [misc]simplify: iters left: 3 (355 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) i) (* alpha (+ i beta))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 616 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 617 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 618 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (337 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 619 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (222 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 620 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 621 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3)) (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 622 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (243 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 623 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 624 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (156 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 625 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (208 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 626 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* i i) (* beta alpha))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 627 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (299 enodes) * [exit]simplify: Simplified to (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (* (sqrt (+ i beta)) i) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))))))) * * * * [misc]progress: [ 628 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (232 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 629 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (219 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 630 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 631 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (211 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 632 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 633 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* (+ alpha i) i)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 634 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (231 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 635 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (218 enodes) * [exit]simplify: Simplified to (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 636 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (146 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* i (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) (/ (+ (+ beta alpha) (* i 2)) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 637 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (sqrt (+ i beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (sqrt (+ i beta))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 638 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta)))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 639 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta)))) (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 640 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 641 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (* (/ (+ i (+ beta alpha)) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 642 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * * [misc]simplify: iters left: 2 (469 enodes) * [exit]simplify: Simplified to (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (* (+ i beta) (+ alpha i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 643 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 644 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (167 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 645 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 646 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 647 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (169 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))))))) * * * * [misc]progress: [ 648 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) 1) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (185 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) i)) (/ (* (sqrt (sqrt (* (+ beta i) (+ i alpha)))) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 649 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (+ (+ alpha beta) (* 2 i))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* i i) (* beta alpha)) (* (+ alpha beta) i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 650 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (195 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (+ alpha beta) (* 2 i))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (+ (+ alpha beta) (* 2 i))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (sqrt (* (+ i alpha) (+ beta i)))))) * * * * [misc]progress: [ 651 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (+ (* 2 i) (+ beta alpha))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (132 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ 1 (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (+ (* 2 i) (+ alpha beta)) (cbrt (+ (* 2 i) (+ alpha beta)))))) (/ (* (sqrt (sqrt (* (+ i alpha) (+ beta i)))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2))))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (* (+ i alpha) (+ beta i))))))) * * * * [misc]progress: [ 652 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 653 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (261 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (252 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ beta (+ i alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* alpha alpha) (* i (- i alpha))) (+ (* beta beta) (* (- i beta) i))))) (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 654 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (84 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ (pow alpha 3) (pow i 3)))))) 1) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (sqrt (+ (* (+ beta alpha) i) (+ (* i i) (* alpha beta)))))) (sqrt (* (+ (* alpha alpha) (* (- i alpha) i)) (+ (* beta beta) (* i (- i beta)))))))) * * * * [misc]progress: [ 655 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (* (* (- alpha i) (+ alpha i)) (+ (pow beta 3) (pow i 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i))))) (sqrt (* (* (- alpha i) (+ alpha i)) (+ (pow beta 3) (pow i 3))))) (* (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 656 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (* (+ (* beta beta) (* (- i beta) i)) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 657 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (463 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (+ (* beta beta) (- (* i i) (* beta i))) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- alpha i)) (+ (pow beta 3) (pow i 3))))) (cbrt (+ (+ alpha beta) (* i 2)))) (/ (cbrt (+ (+ alpha beta) (* i 2))) (sqrt (sqrt (+ (* beta (+ alpha i)) (* i (+ alpha i))))))) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (+ (* beta beta) (* i (- i beta))) (- alpha i))))))) * * * * [misc]progress: [ 658 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (287 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (- beta i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 659 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (87 enodes) * * [misc]simplify: iters left: 4 (274 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (227 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i))))) (* (sqrt (* (- beta i) (+ (* alpha alpha) (* i (- i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 660 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (200 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ (pow i 3) (pow alpha 3)) (* (+ i beta) (- beta i)))))) (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (+ (* alpha alpha) (- (* i i) (* alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (226 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ (pow alpha 3) (pow i 3)))))) 1) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (+ (* alpha alpha) (* (- i alpha) i)))))))) * * * * [misc]progress: [ 661 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (251 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (- (* beta beta) (* i i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 662 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (238 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- alpha i) (+ alpha i)) (* (+ i beta) (- beta i)))))) (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (178 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (* (- beta i) (- alpha i))))))) * * * * [misc]progress: [ 663 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (* (+ i beta) (- beta i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ alpha i) (- alpha i)) (* (+ i beta) (- beta i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (* (- beta i) (- alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (- (* alpha alpha) (* i i)))))) 1) (* (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* (+ beta i) i)))) (sqrt (* (- beta i) (- alpha i)))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 664 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (85 enodes) * * [misc]simplify: iters left: 4 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3)))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 665 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (255 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ i beta) alpha) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* alpha alpha) (* (- i alpha) i)))) (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 666 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ (pow alpha 3) (pow i 3)))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * * [misc]simplify: iters left: 3 (460 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* alpha alpha) (- (* i i) (* alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* 2 i))) (sqrt (* (+ i beta) (+ (pow i 3) (pow alpha 3))))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i)))) (/ (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))))) (sqrt (+ (* alpha alpha) (* i (- i alpha))))))) * * * * [misc]progress: [ 667 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (76 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* i (+ i beta))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (- alpha i)) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 668 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (229 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (+ i beta) (+ alpha i)) (- alpha i))))) (/ (sqrt (sqrt (+ (+ (* beta alpha) (* i i)) (* (+ alpha beta) i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- alpha i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 669 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (- (* alpha alpha) (* i i)))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (155 enodes) * * [misc]simplify: iters left: 3 (436 enodes) * [exit]simplify: Simplified to (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- alpha i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (+ alpha i) (* (+ i beta) (- alpha i))))) (/ (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))) (sqrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- alpha i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 670 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (86 enodes) * * [misc]simplify: iters left: 4 (253 enodes) * [exit]simplify: Simplified to (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (sqrt (+ (+ (* beta alpha) (* i alpha)) (* (+ i beta) i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 671 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* (+ alpha beta) i) (+ (* beta alpha) (* i i))))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ (* beta beta) (* (- i beta) i)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 672 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ (pow beta 3) (pow i 3)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (444 enodes) * [exit]simplify: Simplified to (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (+ (* beta beta) (- (* i i) (* beta i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (181 enodes) * [exit]simplify: Simplified to (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (/ (* (+ (+ alpha beta) (* 2 i)) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (* (+ alpha i) (+ (pow beta 3) (pow i 3)))))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (+ i (+ beta alpha)) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (sqrt (+ (* beta beta) (* i (- i beta))))) (cbrt (+ (+ beta alpha) (* i 2))))))) * * * * [misc]progress: [ 673 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (82 enodes) * * [misc]simplify: iters left: 4 (260 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* i (+ i beta))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ i beta) (* (- beta i) (+ alpha i))))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 674 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (79 enodes) * * [misc]simplify: iters left: 4 (247 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- beta i) (+ alpha i)) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (+ (* alpha (+ i beta)) (* (+ i beta) i)))) (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (* (- beta i) (+ alpha i)) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (161 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (/ (+ (+ beta i) alpha) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- beta i))) (/ (sqrt (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 675 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (- (* beta beta) (* i i)) (+ alpha i))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * * [misc]simplify: iters left: 3 (491 enodes) * [exit]simplify: Simplified to (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i))))))) (sqrt (- beta i))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (/ i (+ (+ alpha beta) (* i 2))) (sqrt (* (* (+ alpha i) (- beta i)) (+ i beta)))) (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (* (cbrt (+ (+ alpha beta) (* i 2))) (cbrt (+ (+ alpha beta) (* i 2)))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))))) (* (sqrt (- beta i)) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 676 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (204 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 677 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (194 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))) (cbrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 678 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (* (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (cbrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta))))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 679 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 680 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (183 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (/ (+ (+ alpha beta) (* 2 i)) (sqrt (* (+ alpha i) (+ i beta)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)))))) * * * * [misc]progress: [ 681 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * * [misc]simplify: iters left: 2 (442 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta)))) (sqrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta)))) (sqrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (sqrt (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta)))) (sqrt (/ (+ (* 2 i) (+ alpha beta)) (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (/ (+ (+ beta alpha) (* i 2)) (sqrt (* (+ i alpha) (+ beta i)))))) (/ (sqrt (* (+ i alpha) (+ beta i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 682 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 683 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (237 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 684 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (154 enodes) * * [misc]simplify: iters left: 3 (413 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (pow (cbrt (+ (+ alpha beta) (* 2 i))) 3))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 685 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 686 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))))) (/ (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (sqrt (+ i alpha)))))) * * * * [misc]progress: [ 687 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (245 enodes) * [exit]simplify: Simplified to (/ i (* (cbrt (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (sqrt (+ i beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (sqrt (+ i beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (cbrt (+ (* 2 i) (+ alpha beta))) (/ (+ (* 2 i) (+ alpha beta)) (sqrt (+ i beta))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha)))) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 688 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (230 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 689 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (217 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 690 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * * [misc]simplify: iters left: 3 (311 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 691 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (174 enodes) * [exit]simplify: Simplified to (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (* (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 692 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * [exit]simplify: Simplified to (/ i (* (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ i (* (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ i (* (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0)) (* (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))))) (/ (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 693 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (* (cbrt (+ (* 2 i) (+ beta alpha))) (cbrt (+ (* 2 i) (+ beta alpha)))) 1)) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (302 enodes) * [exit]simplify: Simplified to (/ (/ i (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (cbrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ i (+ beta alpha)) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 694 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 695 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (207 enodes) * [exit]simplify: Simplified to (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 696 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ i beta) (+ alpha i)))) (cbrt (sqrt (* (+ i beta) (+ alpha i)))))) (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 697 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ i beta))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 698 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (160 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (sqrt (+ i beta)))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ (* alpha beta) (* i alpha)) (* i (+ beta i)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 699 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ i beta)) (sqrt (+ (* 2 i) (+ alpha beta)))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (sqrt (+ i beta)) (sqrt (+ (* 2 i) (+ alpha beta)))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (188 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (sqrt (+ i beta)) (sqrt (+ (* 2 i) (+ alpha beta)))) (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (cbrt (+ (* 2 i) (+ alpha beta))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (+ i alpha))))))) * * * * [misc]progress: [ 700 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (/ (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (sqrt (* (+ i beta) (+ alpha i))))))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 701 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (63 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (sqrt (* (+ i beta) (+ alpha i))))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (sqrt (+ (+ alpha beta) (* 2 i))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (* (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 702 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ i beta) (+ alpha i)))) (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta)))))) (* (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ beta i) (+ i alpha))))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 703 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (196 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (cbrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 704 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (182 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (213 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (sqrt (+ (* 2 i) (+ alpha beta)))) (* (cbrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (sqrt (- (* (+ (* 2 i) (+ alpha beta)) (+ (* 2 i) (+ alpha beta))) 1.0))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 705 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ (sqrt (+ (* 2 i) (+ beta alpha))) 1)) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (sqrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (sqrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (sqrt (+ (* 2 i) (+ beta alpha))) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (* (+ beta i) (+ i alpha))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (* 2 i) (+ alpha beta)))) (* (sqrt (+ (* 2 i) (+ alpha beta))) (cbrt (+ (* 2 i) (+ alpha beta))))) (* (/ (sqrt (* (+ beta i) (+ i alpha))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (/ (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (/ (sqrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ beta i) (+ i alpha)))))))) * * * * [misc]progress: [ 706 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (197 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 707 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (184 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta))))))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 708 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (* (cbrt (sqrt (* (+ beta i) (+ alpha i)))) (cbrt (sqrt (* (+ beta i) (+ alpha i))))))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (117 enodes) * * [misc]simplify: iters left: 3 (241 enodes) * [exit]simplify: Simplified to (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (cbrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (cbrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (sqrt (* (+ alpha i) (+ i beta)))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (cbrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 709 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (+ beta i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ i beta))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ i beta))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (+ i beta))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 710 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (+ beta i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (* i (sqrt (+ i beta))) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (* (sqrt (+ (+ (* i i) (* alpha beta)) (* (+ beta alpha) i))) (* (/ (+ i (+ beta alpha)) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (+ i alpha)))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 711 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (+ beta i)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ i beta)) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (+ alpha i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (190 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (* (sqrt (+ i beta)) i) (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (sqrt (+ (* (+ beta alpha) i) (+ (* alpha beta) (* i i)))) (/ (+ (+ beta alpha) (* i 2)) (sqrt (+ i alpha)))) (/ (/ (+ alpha (+ beta i)) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 712 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (61 enodes) * * [misc]simplify: iters left: 4 (186 enodes) * [exit]simplify: Simplified to (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (/ (/ i (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 713 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (216 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (* (sqrt (* (+ i alpha) (+ beta i))) (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) (* (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 714 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * * [misc]simplify: iters left: 2 (364 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (sqrt (* (+ beta i) (+ alpha i)))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (* (sqrt (sqrt (* (+ alpha i) (+ i beta)))) (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i))))) (* (/ (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0)) (* (/ (sqrt (* (+ i alpha) (+ beta i))) (+ (+ beta alpha) (* i 2))) (sqrt (sqrt (* (+ i alpha) (+ beta i)))))))) * * * * [misc]progress: [ 715 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 1)) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (128 enodes) * * [misc]simplify: iters left: 3 (494 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (cbrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 716 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 1)) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (472 enodes) * [exit]simplify: Simplified to (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (sqrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (* (/ (+ (+ i alpha) beta) (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i)))) (/ (cbrt (+ (+ beta alpha) (* i 2))) (sqrt (* (+ i alpha) (+ beta i))))) (sqrt (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0))))) * * * * [misc]progress: [ 717 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (68 enodes) * * [misc]simplify: iters left: 4 (214 enodes) * [exit]simplify: Simplified to (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta i) (* (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (/ (* (/ (+ (+ i alpha) beta) (cbrt (+ (+ beta alpha) (* i 2)))) (* (sqrt (* (+ i alpha) (+ beta i))) (sqrt (* (+ i alpha) (+ beta i))))) (* (- (* (+ (+ beta alpha) (* i 2)) (+ (+ beta alpha) (* i 2))) 1.0) (+ (+ beta alpha) (* i 2)))))) * * * * [misc]progress: [ 718 / 2943 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ i (/ (* (cbrt (+ (+ alpha beta) (* 2 i))) (cbrt (+ (+ alpha beta) (* 2 i)))) 1)) 1) (* (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * [exit]simplify: Simplified to (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta i) (* (/ (/ (/ (/ i (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (+ (+ alpha beta) (* 2 i)))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ alpha beta) i) (/ (cbrt (+ (+ alpha beta) (* 2 i))) (sqrt (+ (* beta alpha) (* i (+ (+ alpha beta) i)))))) (/ (+ (* 2 i) (+ beta alpha)) (sqrt (* (+ beta i) (+ alpha i))))) (cbrt (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (215 enodes)