* [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 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))) * * [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 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha 1.0) into (+ 1.0 alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (/ (+ 1.0 beta) (+ 2 beta)) in beta * [misc]taylor: Taking taylor expansion of (+ 1.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 1.0 2) into 0.5 * [misc]backup-simplify: Simplify 0.5 into 0.5 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 beta) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ (+ 1 beta) 0) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (+ 1 beta) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (+ 2 beta)) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) in beta * [misc]taylor: Taking taylor expansion of (/ beta (+ 2 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 (+ 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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2)))) in beta * [misc]taylor: Taking taylor expansion of (/ beta (pow (+ 2 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 (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ 1 (pow 2 2)) into 1/4 * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (pow (+ 2 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 (/ 1 (pow (+ 2 beta) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ 1 (pow 2 2)) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (* 1.0 1/4) into 0.25 * [misc]backup-simplify: Simplify (+ 0 0.25) into 0.25 * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (+ 1/2 (- 0.25)) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 1 2) (+ (* 0.5 (/ 1 2)))) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ (* 0.25 (* beta 1)) (+ (* 0.25 (* 1 alpha)) 0.5)) into (+ 0.5 (+ (* 0.25 beta) (* 0.25 alpha))) * [misc]approximate: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 1 (/ 1 alpha)) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 alpha)) 0) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [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 0) into 1 * [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 (/ 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 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (/ 1 beta) 1.0) into (+ 1.0 (/ 1 beta)) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ 1.0 (/ 1 beta)) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 2 (/ 1 beta)) 1)))) into (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) * [misc]taylor: Taking taylor expansion of (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 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 beta 2)) (* 2 (/ 1 beta))) 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]backup-simplify: Simplify (/ 1 1) into 1 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (- 1.0) into (- 1.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 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 (/ 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 (+ 0 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) (/ (+ 2 (/ 1 beta)) 1)))) into (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) * [misc]taylor: Taking taylor expansion of (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) 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 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (/ 1 (pow 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 (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (* 5.0 (/ 1 beta)) 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 (/ 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 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5.0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 2.0 (pow (* 1 (/ 1 alpha)) 2)) (+ (* (- 1.0) (* 1 (/ 1 alpha))) 1)) into (- (+ 1 (* 2.0 (/ 1 (pow alpha 2)))) (* 1.0 (/ 1 alpha))) * [misc]approximate: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta * [misc]taylor: Taking taylor expansion of -1 in beta * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 0 1)) into 1 * [misc]backup-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 (- 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 (+ (- (/ 1 beta)) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (+ 1.0 (/ 1 (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 (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [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 (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 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) (* 0 1))) into 0 * [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 (- (+ (* -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 (- 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 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) * [misc]taylor: Taking taylor expansion of (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (+ 2.0 (* 4 (/ 1 (pow beta 2)))) 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 (* 4 (/ 1 (pow 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 (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))) in beta * [misc]taylor: Taking taylor expansion of (* 5.0 (/ 1 beta)) 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 (/ 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 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (+ (* 4 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 2.0 0) into 2.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5.0 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 (/ 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 (+ 2.0 0) into 2.0 * [misc]backup-simplify: Simplify 2.0 into 2.0 * [misc]backup-simplify: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (- alpha))) 2)) (+ (* 1.0 (* 1 (/ 1 (- alpha)))) 1)) into (- (+ 1 (* 2.0 (/ 1 (pow alpha 2)))) (* 1.0 (/ 1 alpha))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha 1.0) into (+ 1.0 alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [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 (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (+ (+ 2 alpha) 1.0) into (+ 3.0 alpha) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) (+ 3.0 alpha)) into (/ (+ 1.0 alpha) (* (+ 3.0 alpha) (pow (+ 2 alpha) 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (+ 2 beta)) (+ 2 beta)) into (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [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 (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (+ (+ 2 beta) 1.0) into (+ 3.0 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) (+ 3.0 beta)) into (/ (+ 1.0 beta) (* (pow (+ 2 beta) 2) (+ 3.0 beta))) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (+ 2 beta)) (+ 2 beta)) into (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [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 (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (+ (+ 2 beta) 1.0) into (+ 3.0 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) (+ 3.0 beta)) into (/ (+ 1.0 beta) (* (pow (+ 2 beta) 2) (+ 3.0 beta))) * [misc]taylor: Taking taylor expansion of (/ (+ 1.0 beta) (* (pow (+ 2 beta) 2) (+ 3.0 beta))) in beta * [misc]taylor: Taking taylor expansion of (+ 1.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (pow (+ 2 beta) 2) (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (* (pow 2 2) 3.0) into 12.0 * [misc]backup-simplify: Simplify (/ 1.0 12.0) into 0.08333333333333333 * [misc]backup-simplify: Simplify 0.08333333333333333 into 0.08333333333333333 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 beta) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ (+ 1 beta) 0) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (+ 1 beta) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (+ 2 beta)) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3))))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3))))) (+ 3.0 beta)) (+ (* (/ (+ 1.0 beta) (* (pow (+ 2 beta) 2) (+ 3.0 beta))) (/ 1 (+ 3.0 beta))))) into (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3.0 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3.0 beta)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 beta) 3) (+ 3.0 beta)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2)))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 beta)))))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3.0 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3.0 beta)))) (+ (* 2.0 (/ 1 (* (pow (+ 2 beta) 3) (+ 3.0 beta)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2)))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 beta)))))))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* (pow (+ 2 beta) 2) (+ 3.0 beta))) (/ beta (* (pow (+ 2 beta) 2) (+ 3.0 beta)))) in beta * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (+ 2 beta) 2) (+ 3.0 beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (+ 2 beta) 2) (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (* (pow 2 2) 3.0) into 12.0 * [misc]backup-simplify: Simplify (/ 1 12.0) into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ 2 beta) 2) (+ 3.0 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 (+ 2 beta) 2) (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (* (pow 2 2) 3.0) into 12.0 * [misc]backup-simplify: Simplify (/ 1 12.0) into 0.08333333333333333 * [misc]taylor: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ 2 beta) 3) (+ 3.0 beta)))) (+ (* 1.0 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2)))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 beta))))))) in beta * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ 2 beta) 3) (+ 3.0 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 (+ 2 beta) 3) (+ 3.0 beta))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (+ 2 beta) 3) (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (* (pow 2 3) 3.0) into 24.0 * [misc]backup-simplify: Simplify (/ 1 24.0) into 0.041666666666666664 * [misc]taylor: Taking taylor expansion of (+ (* 1.0 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2)))) (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 beta)))))) in beta * [misc]taylor: Taking taylor expansion of (* 1.0 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 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 (/ 1 (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) in beta * [misc]taylor: Taking taylor expansion of (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]taylor: Taking taylor expansion of (pow (+ 3.0 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 3.0 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 3.0 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 (log (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (log 3.0) into (log 3.0) * [misc]backup-simplify: Simplify (* 2 (log 3.0)) into (* 2 (log 3.0)) * [misc]backup-simplify: Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2) * [misc]backup-simplify: Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2)) * [misc]backup-simplify: Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2)) * [misc]taylor: Taking taylor expansion of (+ (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 beta) 2))) (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 beta))))) in beta * [misc]taylor: Taking taylor expansion of (/ beta (* (pow (+ 2 beta) 2) (pow (+ 3.0 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 (+ 2 beta) 2) (pow (+ 3.0 beta) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]taylor: Taking taylor expansion of (pow (+ 3.0 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 3.0 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 3.0 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 (log (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (log 3.0) into (log 3.0) * [misc]backup-simplify: Simplify (* 2 (log 3.0)) into (* 2 (log 3.0)) * [misc]backup-simplify: Simplify (exp (* 2 (log 3.0))) into (pow 3.0 2) * [misc]backup-simplify: Simplify (* (pow 2 2) (pow 3.0 2)) into (* 4 (pow 3.0 2)) * [misc]backup-simplify: Simplify (/ 1 (* 4 (pow 3.0 2))) into (/ 1/4 (pow 3.0 2)) * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 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 (/ beta (* (pow (+ 2 beta) 3) (+ 3.0 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 (+ 2 beta) 3) (+ 3.0 beta)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]taylor: Taking taylor expansion of (+ 3.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 3.0 0) into 3.0 * [misc]backup-simplify: Simplify (* (pow 2 3) 3.0) into 24.0 * [misc]backup-simplify: Simplify (/ 1 24.0) into 0.041666666666666664 * [misc]backup-simplify: Simplify (+ 0.08333333333333333 0) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 2.0 0.041666666666666664) into 0.08333333333333333 * [misc]backup-simplify: Simplify (* 1.0 (/ 1/4 (pow 3.0 2))) into (/ 0.25 (pow 3.0 2)) * [misc]backup-simplify: Simplify (+ (/ 0.25 (pow 3.0 2)) 0) into (* 0.25 (/ 1 (pow 3.0 2))) * [misc]backup-simplify: Simplify (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2)))) into (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2)))) * [misc]backup-simplify: Simplify (- (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2))))) into (- (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2))))) * [misc]backup-simplify: Simplify (+ 0.08333333333333333 (- (+ 0.08333333333333333 (* 0.25 (/ 1 (pow 3.0 2)))))) into (- (* 0.25 (/ 1 (pow 3.0 2)))) * [misc]backup-simplify: Simplify (- (* 0.25 (/ 1 (pow 3.0 2)))) into (- (* 0.25 (/ 1 (pow 3.0 2)))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 0 (log 2))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 2 (log 2))) (+ (* (/ (pow 1 1) 1)))) into 4 * [misc]backup-simplify: Simplify (+ (* (pow 2 2) 1) (* 4 3.0)) into 16.0 * [misc]backup-simplify: Simplify (- (/ 1 12.0) (+ (* 0.08333333333333333 (/ 16.0 12.0)))) into (- 0.027777777777777776) * [misc]backup-simplify: Simplify (- 0.027777777777777776) into (- 0.027777777777777776) * [misc]backup-simplify: Simplify (+ (* (- 0.027777777777777776) (* beta 1)) (+ (* (- (* 0.25 (/ 1 (pow 3.0 2)))) (* 1 alpha)) 0.08333333333333333)) into (- 0.08333333333333333 (+ (* 0.027777777777777776 beta) (* 0.25 (/ alpha (pow 3.0 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 1 (/ 1 alpha)) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 alpha)) 0) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [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 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 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [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 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 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (/ 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 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (/ 1 beta) 1.0) into (+ 1.0 (/ 1 beta)) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ 1.0 (/ 1 beta)) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 2 (/ 1 beta)) 1)))) into (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 2 (/ 1 beta)) 1)))) into (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 2 (/ 1 beta)) 1.0) into (+ 3.0 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 3.0 (/ 1 beta)) 1)))) into (- (+ 6.0 (+ (* 3 (/ 1 (pow beta 2))) (* 9.0 (/ 1 beta))))) * [misc]taylor: Taking taylor expansion of (- (+ 6.0 (+ (* 3 (/ 1 (pow beta 2))) (* 9.0 (/ 1 beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ 6.0 (+ (* 3 (/ 1 (pow beta 2))) (* 9.0 (/ 1 beta)))) 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 (+ (* 3 (/ 1 (pow beta 2))) (* 9.0 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (/ 1 (pow beta 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 (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 9.0 (/ 1 beta)) 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 (/ 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 (/ 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* 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 (/ 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 (/ 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 (+ 0 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) (/ (+ 2 (/ 1 beta)) 1)))) into (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) * [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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) (/ (+ 2 (/ 1 beta)) 1)))) into (+ 8.0 (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) * [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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (+ 8.0 (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 6.0 (+ (* 3 (/ 1 (pow beta 2))) (* 9.0 (/ 1 beta))))) (/ (+ 3.0 (/ 1 beta)) 1)))) into (+ 26.0 (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))) * [misc]taylor: Taking taylor expansion of (+ 26.0 (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))))) in beta * [misc]taylor: Taking taylor expansion of 26.0 in beta * [misc]backup-simplify: Simplify 26.0 into 26.0 * [misc]taylor: Taking taylor expansion of (+ (* 31.0 (/ 1 (pow beta 2))) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta * [misc]taylor: Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 31.0 in beta * [misc]backup-simplify: Simplify 31.0 into 31.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 51.0 in beta * [misc]backup-simplify: Simplify 51.0 into 51.0 * [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 (* 6 (/ 1 (pow 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 (/ 1 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 51.0 0) (+ (* 0 0) (+ (* 0 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 (/ 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 (+ (* 6 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 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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)) (* 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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in beta * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0)) in alpha * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1) * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [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 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (* -1 (- (/ 1 beta) 1)) in beta * [misc]taylor: Taking taylor expansion of -1 in beta * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))) into 0 * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 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 (- 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 (+ (- (/ 1 beta)) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 1.0 (/ 1 (pow beta 2))) (* 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) * [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) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- 2 (/ 1 beta)) 1.0) into (- 3.0 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ 6.0 (* 3 (/ 1 (pow beta 2)))) (* 9.0 (/ 1 beta))) * [misc]taylor: Taking taylor expansion of (- (+ 6.0 (* 3 (/ 1 (pow beta 2)))) (* 9.0 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (+ 6.0 (* 3 (/ 1 (pow beta 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 (* 3 (/ 1 (pow beta 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 (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 9.0 (/ 1 beta)) 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 (/ 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 (/ 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9.0 0) (+ (* 0 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 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 * [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 (- (+ (* -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 (- 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 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) (+ 8.0 (* 13 (/ 1 (pow beta 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 (- (+ (* (/ -1 beta) (/ 0 (- beta))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) (+ 8.0 (* 13 (/ 1 (pow beta 2))))) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ 6.0 (* 3 (/ 1 (pow beta 2)))) (* 9.0 (/ 1 beta))) (/ (- 3.0 (/ 1 beta)) -1)))) into (- (+ 26.0 (* 31.0 (/ 1 (pow beta 2)))) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) * [misc]taylor: Taking taylor expansion of (- (+ 26.0 (* 31.0 (/ 1 (pow beta 2)))) (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3))))) in beta * [misc]taylor: Taking taylor expansion of (+ 26.0 (* 31.0 (/ 1 (pow beta 2)))) in beta * [misc]taylor: Taking taylor expansion of 26.0 in beta * [misc]backup-simplify: Simplify 26.0 into 26.0 * [misc]taylor: Taking taylor expansion of (* 31.0 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 31.0 in beta * [misc]backup-simplify: Simplify 31.0 into 31.0 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 51.0 (/ 1 beta)) (* 6 (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 51.0 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 51.0 in beta * [misc]backup-simplify: Simplify 51.0 into 51.0 * [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 (* 6 (/ 1 (pow 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 (/ 1 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 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 (+ (* 31.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 51.0 0) (+ (* 0 0) (+ (* 0 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 (/ 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 (+ (* 6 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]backup-simplify: Simplify 0 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 (+ (* 3 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 9.0 0) (+ (* 0 0) (+ (* 0 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 0 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 0 alpha) into 0 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (+ alpha 1.0) into (+ 1.0 alpha) * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (/ (+ 1.0 alpha) (+ 2 alpha)) into (/ (+ 1.0 alpha) (+ 2 alpha)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ alpha 0) into alpha * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ alpha 2) into (+ 2 alpha) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 alpha) (+ 2 alpha)) (+ 2 alpha)) into (/ (+ 1.0 alpha) (pow (+ 2 alpha) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (+ 2 beta)) (+ 2 beta)) into (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ alpha beta) (* beta alpha)) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* beta alpha)) 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 (* beta alpha) in alpha * [misc]taylor: Taking taylor expansion of beta in alpha * [misc]backup-simplify: Simplify beta into beta * [misc]taylor: Taking taylor expansion 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 beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* beta 0) into 0 * [misc]backup-simplify: Simplify (+ beta 0) into beta * [misc]backup-simplify: Simplify (+ beta 1.0) into (+ 1.0 beta) * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (+ 1.0 beta) (+ 2 beta)) into (/ (+ 1.0 beta) (+ 2 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ alpha beta) (* 2 1)) 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 1) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 beta) into beta * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ beta 2) into (+ 2 beta) * [misc]backup-simplify: Simplify (/ (/ (+ 1.0 beta) (+ 2 beta)) (+ 2 beta)) into (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) * [misc]taylor: Taking taylor expansion of (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) in beta * [misc]taylor: Taking taylor expansion of (+ 1.0 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 beta in beta * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (+ 1.0 0) into 1.0 * [misc]backup-simplify: Simplify (/ 1.0 (pow 2 2)) into 0.25 * [misc]backup-simplify: Simplify 0.25 into 0.25 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* beta 1) (* 0 0)) into beta * [misc]backup-simplify: Simplify (+ 1 beta) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ (+ 1 beta) 0) into (+ 1 beta) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (+ 1 beta) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (+ 2 beta)) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3))))) in beta * [misc]taylor: Taking taylor expansion of (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) in beta * [misc]taylor: Taking taylor expansion of (/ beta (pow (+ 2 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 (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ 1 (pow 2 2)) into 1/4 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (+ 2 beta) 2)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 2) in beta * [misc]taylor: Taking taylor expansion of (exp (* 2 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (log (+ 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 2 (log 2)) into (* 2 (log 2)) * [misc]backup-simplify: Simplify (exp (* 2 (log 2))) into (pow 2 2) * [misc]backup-simplify: Simplify (/ 1 (pow 2 2)) into 1/4 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (pow (+ 2 beta) 3))) 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 (+ 2 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 (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]backup-simplify: Simplify (/ 1 (pow 2 3)) into 1/8 * [misc]taylor: Taking taylor expansion of (* 2.0 (/ 1 (pow (+ 2 beta) 3))) 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 (+ 2 beta) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]backup-simplify: Simplify (/ 1 (pow 2 3)) into 1/8 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (* 2.0 1/8) into 0.25 * [misc]backup-simplify: Simplify (+ 0 0.25) into 0.25 * [misc]backup-simplify: Simplify (- 0.25) into (- 0.25) * [misc]backup-simplify: Simplify (+ 1/4 (- 0.25)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 0 (log 2))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 2 (log 2))) (+ (* (/ (pow 1 1) 1)))) into 4 * [misc]backup-simplify: Simplify (- (/ 1 (pow 2 2)) (+ (* 0.25 (/ 4 (pow 2 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (+ 0 0) 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 (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (+ 2 beta)) (/ 0 (+ 2 beta))) (* (- (+ (/ beta (+ 2 beta)) (/ 1 (+ 2 beta))) (+ (/ beta (pow (+ 2 beta) 2)) (* 1.0 (/ 1 (pow (+ 2 beta) 2))))) (/ 1 (+ 2 beta))))) into (- (+ (/ beta (pow (+ 2 beta) 3)) (* 1.0 (/ 1 (pow (+ 2 beta) 3)))) (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2)))) * [misc]backup-simplify: Simplify (+ 0 0) 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 (- (/ (- (+ (/ beta (pow (+ 2 beta) 3)) (* 1.0 (/ 1 (pow (+ 2 beta) 3)))) (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (* (/ (+ 1.0 beta) (pow (+ 2 beta) 2)) (/ 0 (+ 2 beta))) (* (- (+ (/ beta (pow (+ 2 beta) 2)) (/ 1 (pow (+ 2 beta) 2))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2.0 (/ 1 (pow (+ 2 beta) 3))))) (/ 1 (+ 2 beta))))) into (- (+ (* 3 (/ beta (pow (+ 2 beta) 4))) (* 3.0 (/ 1 (pow (+ 2 beta) 4)))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 3 (/ beta (pow (+ 2 beta) 4))) (* 3.0 (/ 1 (pow (+ 2 beta) 4)))) (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 3 (/ beta (pow (+ 2 beta) 4))) (* 3.0 (/ 1 (pow (+ 2 beta) 4)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (/ beta (pow (+ 2 beta) 4))) 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 (+ 2 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 (+ 2 beta) 4) in beta * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 4 (log 2)) into (* 4 (log 2)) * [misc]backup-simplify: Simplify (exp (* 4 (log 2))) into (pow 2 4) * [misc]backup-simplify: Simplify (/ 1 (pow 2 4)) into 1/16 * [misc]taylor: Taking taylor expansion of (* 3.0 (/ 1 (pow (+ 2 beta) 4))) 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 (+ 2 beta) 4)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 4) in beta * [misc]taylor: Taking taylor expansion of (exp (* 4 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 4 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 4 (log 2)) into (* 4 (log 2)) * [misc]backup-simplify: Simplify (exp (* 4 (log 2))) into (pow 2 4) * [misc]backup-simplify: Simplify (/ 1 (pow 2 4)) into 1/16 * [misc]taylor: Taking taylor expansion of (+ (* 2 (/ beta (pow (+ 2 beta) 3))) (* 2 (/ 1 (pow (+ 2 beta) 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ beta (pow (+ 2 beta) 3))) 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 (+ 2 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 (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]backup-simplify: Simplify (/ 1 (pow 2 3)) into 1/8 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (pow (+ 2 beta) 3))) 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 (+ 2 beta) 3)) in beta * [misc]taylor: Taking taylor expansion of (pow (+ 2 beta) 3) in beta * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (+ 2 beta)))) in beta * [misc]taylor: Taking taylor expansion of (* 3 (log (+ 2 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 (log (+ 2 beta)) in beta * [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 (+ 2 0) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (* 3 (log 2)) into (* 3 (log 2)) * [misc]backup-simplify: Simplify (exp (* 3 (log 2))) into (pow 2 3) * [misc]backup-simplify: Simplify (/ 1 (pow 2 3)) into 1/8 * [misc]backup-simplify: Simplify (* 3.0 1/16) into 0.1875 * [misc]backup-simplify: Simplify (+ 0 0.1875) into 0.1875 * [misc]backup-simplify: Simplify (* 2 1/8) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1/4) into 1/4 * [misc]backup-simplify: Simplify (- 1/4) into -1/4 * [misc]backup-simplify: Simplify (+ 0.1875 -1/4) into (- 0.0625) * [misc]backup-simplify: Simplify (- 0.0625) into (- 0.0625) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 1/2) (* 0 (log 2))) into 1 * [misc]backup-simplify: Simplify (* (exp (* 2 (log 2))) (+ (* (/ (pow 1 1) 1)))) into 4 * [misc]backup-simplify: Simplify (- (+ (* 1/4 (/ 4 (pow 2 2))))) into (- 1/4) * [misc]backup-simplify: Simplify (+ 1/4 (- 1/4)) into 0 * [misc]backup-simplify: Simplify (* 2 1/8) into 1/4 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 2 1)))) 1) into 1/2 * [misc]backup-simplify: Simplify (+ (* 3 1/2) (* 0 (log 2))) into 3/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log 2))) (+ (* (/ (pow 3/2 1) 1)))) into 12 * [misc]backup-simplify: Simplify (- (+ (* 1/8 (/ 12 (pow 2 3))))) into (- 3/16) * [misc]backup-simplify: Simplify (+ (* 2.0 (- 3/16)) (* 0 1/8)) into (- 0.375) * [misc]backup-simplify: Simplify (+ 1/4 (- 0.375)) into (- 0.125) * [misc]backup-simplify: Simplify (- (- 0.125)) into 0.125 * [misc]backup-simplify: Simplify (+ 0 0.125) into 0.125 * [misc]backup-simplify: Simplify 0.125 into 0.125 * [misc]backup-simplify: Simplify (+ (* 0.125 (* beta alpha)) (+ (* (- 0.0625) (pow (* 1 alpha) 2)) 0.25)) into (- (+ (* 0.125 (* beta alpha)) 0.25) (* 0.0625 (pow alpha 2))) * [misc]approximate: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ 1 (/ 1 alpha)) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 alpha)) 0) into (+ 1 (/ 1 alpha)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 alpha)) 1) into (+ 1 (/ 1 alpha)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* (/ 1 beta) (/ 1 alpha))) 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 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 beta) 1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ 1 (/ 1 beta)) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (+ 1 (/ 1 beta)) 0) into (+ 1 (/ 1 beta)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ 1 (/ 1 beta)) 1) into (+ 1 (/ 1 beta)) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 1 in beta * [misc]backup-simplify: Simplify 1 into 1 * [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 (/ 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta) * [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 beta) 0) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ (/ 1 beta) 1.0) into (+ 1.0 (/ 1 beta)) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (+ 1.0 (/ 1 beta)) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 2 (/ 1 beta)) 1)))) into (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) * [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) into 2 * [misc]backup-simplify: Simplify (+ (/ 1 beta) 2) into (+ 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ (+ 2 (/ 1 beta)) 1)))) into (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) * [misc]taylor: Taking taylor expansion of (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) in beta * [misc]taylor: Taking taylor expansion of (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 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 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))) in beta * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (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 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 beta)) 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 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 (/ 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 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 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 (- (+ (* 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 (/ 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 (/ 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 (+ 0 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 1.0 (+ (/ 1 (pow beta 2)) (* 2 (/ 1 beta))))) (/ (+ 2 (/ 1 beta)) 1)))) into (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) * [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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (+ 2.0 (+ (* 4 (/ 1 (pow beta 2))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3))))) 1) (+ (* (+ 1 (/ 1 beta)) (/ 0 1)) (* (- (+ 3.0 (+ (* 2 (/ 1 (pow beta 2))) (* 5 (/ 1 beta))))) (/ (+ 2 (/ 1 beta)) 1)))) into (+ 8.0 (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) * [misc]taylor: Taking taylor expansion of (+ 8.0 (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))))) 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 (+ (* 13 (/ 1 (pow beta 2))) (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3))))) in beta * [misc]taylor: Taking taylor expansion of (* 13 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 13 in beta * [misc]backup-simplify: Simplify 13 into 13 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 18.0 in beta * [misc]backup-simplify: Simplify 18.0 into 18.0 * [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 (* 3 (/ 1 (pow beta 3))) 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 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 13 0) (+ (* 0 0) (+ (* 0 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 (+ (* 18.0 0) (+ (* 0 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 (/ 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 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 (+ (* 5 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (- (+ (* 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 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in (alpha beta) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in beta * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in beta * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -1 alpha)) into (/ 1 alpha) * [misc]backup-simplify: Simplify (+ -1 (/ 1 alpha)) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 alpha) 1) 0) into (- (/ 1 alpha) 1) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 alpha) 1) -1) into (* -1 (- (/ 1 alpha) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 alpha) 1)) -1) into (- (/ 1 alpha) 1) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1) * [misc]taylor: Taking taylor expansion of (/ (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (/ (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1))) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 1.0) in alpha * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* (/ 1 (- beta)) (/ 1 (- alpha)))) 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 (- 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 1.0 in alpha * [misc]backup-simplify: Simplify 1.0 into 1.0 * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 beta) -1) into (/ 1 beta) * [misc]backup-simplify: Simplify (+ -1 (/ 1 beta)) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta) 1) 0) into (- (/ 1 beta) 1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (/ 1 beta) 1) -1) into (* -1 (- (/ 1 beta) 1)) * [misc]taylor: Taking taylor expansion of (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2 1)) 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) 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 in alpha * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (- (/ 1 beta) 1)) -1) into (- (/ 1 beta) 1) * [misc]taylor: Taking taylor expansion of (- (/ 1 beta) 1) 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 in beta * [misc]backup-simplify: Simplify 1 into 1 * [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 (+ 0 0) into 0 * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 beta)) into (- (/ 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 (- 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 (+ (- (/ 1 beta)) 0) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 1.0) into (- 1.0 (/ 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- 1.0 (/ 1 beta)) -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 1.0 (/ 1 (pow beta 2))) (* 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 (+ 0 (/ -1 beta)) into (- (/ 1 beta)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (+ (- (/ 1 beta)) 2) into (- 2 (/ 1 beta)) * [misc]backup-simplify: Simplify (- (/ (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) -1) (+ (* (- (/ 1 beta) 1) (/ (- 2 (/ 1 beta)) -1)))) into (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) * [misc]taylor: Taking taylor expansion of (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) in beta * [misc]taylor: Taking taylor expansion of (* 5 (/ 1 beta)) 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 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 (+ 3.0 (* 2 (/ 1 (pow beta 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 (* 2 (/ 1 (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 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (- (+ (* 1 (/ 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 (+ (* 2 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]backup-simplify: Simplify 0 into 0 * [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 (+ 0 0) into 0 * [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 (- (+ (* -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 (- 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 0) 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (- (/ 1 beta) 1)) (/ 0 -1)) (* (- (+ 1.0 (/ 1 (pow beta 2))) (* 2 (/ 1 beta))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (+ 2.0 (* 4 (/ 1 (pow beta 2)))) (+ (* 5.0 (/ 1 beta)) (/ 1 (pow beta 3)))) -1) (+ (* (- (/ 1 beta) 1) (/ 0 -1)) (* (- (* 5 (/ 1 beta)) (+ 3.0 (* 2 (/ 1 (pow beta 2))))) (/ (- 2 (/ 1 beta)) -1)))) into (- (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) (+ 8.0 (* 13 (/ 1 (pow beta 2))))) * [misc]taylor: Taking taylor expansion of (- (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) (+ 8.0 (* 13 (/ 1 (pow beta 2))))) in beta * [misc]taylor: Taking taylor expansion of (+ (* 18.0 (/ 1 beta)) (* 3 (/ 1 (pow beta 3)))) in beta * [misc]taylor: Taking taylor expansion of (* 18.0 (/ 1 beta)) in beta * [misc]taylor: Taking taylor expansion of 18.0 in beta * [misc]backup-simplify: Simplify 18.0 into 18.0 * [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 (* 3 (/ 1 (pow beta 3))) 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 (pow beta 3)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 3) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 8.0 (* 13 (/ 1 (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 (* 13 (/ 1 (pow beta 2))) in beta * [misc]taylor: Taking taylor expansion of 13 in beta * [misc]backup-simplify: Simplify 13 into 13 * [misc]taylor: Taking taylor expansion of (/ 1 (pow beta 2)) in beta * [misc]taylor: Taking taylor expansion of (pow beta 2) in beta * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [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 (+ (* 18.0 0) (+ (* 0 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 (/ 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 (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 13 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]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 5 0) (+ (* 0 0) (+ (* 0 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 (+ (* 2 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]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 (- 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]progress: simplifying candidates * * * * [misc]progress: [ 1 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (log (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 2 beta) alpha))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (exp (log (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 2 beta) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 3 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) 3) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (cbrt (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) 3)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 6 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 11 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (sqrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 12 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 13 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (cbrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (cbrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 14 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 15 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ 2 (+ beta alpha)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 16 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (252 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ alpha (+ beta 2))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 17 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 18 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* 1 (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 19 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (cbrt (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 23 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (sqrt (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ alpha (+ 2 beta)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 24 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (+ alpha (+ 2 beta)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (+ alpha (+ 2 beta))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 25 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 26 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (159 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 27 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 29 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (+ alpha (- beta 2)) * [misc]simplify: Simplified (2 1 1 2) to (λ (alpha beta) (/ (/ (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (+ alpha (- beta 2))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 30 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (+ (+ alpha beta) (* beta alpha)) 3) (pow 1.0 3)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (195 enodes) * [exit]simplify: Simplified to (+ (pow 1.0 3) (pow (+ (* beta alpha) (+ beta alpha)) 3)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (+ (pow 1.0 3) (pow (+ (* beta alpha) (+ beta alpha)) 3)) (* (+ (+ alpha beta) (* 2 1)) (+ (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* beta alpha)) 1.0))))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 31 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ (+ alpha beta) (* beta alpha)) (+ (+ alpha beta) (* beta alpha))) (* 1.0 1.0)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (- (* (+ (* beta alpha) (+ beta alpha)) (+ (* beta alpha) (+ beta alpha))) (* 1.0 1.0)) * [misc]simplify: Simplified (2 1 1 1) to (λ (alpha beta) (/ (/ (/ (- (* (+ (* beta alpha) (+ beta alpha)) (+ (* beta alpha) (+ beta alpha))) (* 1.0 1.0)) (* (+ (+ alpha beta) (* 2 1)) (- (+ (+ alpha beta) (* beta alpha)) 1.0))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 32 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (365 enodes) * [exit]simplify: Simplified to (log (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (exp (log (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 34 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (361 enodes) * [exit]simplify: Simplified to (log (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (exp (log (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 35 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (log (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (exp (log (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 36 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (447 enodes) * [exit]simplify: Simplified to (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (+ (+ 2 1.0) (+ beta alpha))) 3))) * * * * [misc]progress: [ 39 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (441 enodes) * [exit]simplify: Simplified to (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))) 3))) * * * * [misc]progress: [ 40 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (395 enodes) * [exit]simplify: Simplified to (pow (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2))) 3) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (cbrt (pow (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2))) 3))) * * * * [misc]progress: [ 41 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (cbrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 46 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 47 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (+ (+ 1.0 2) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ 1/3 1/3)) (/ (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (+ (+ 1.0 2) (+ beta alpha))))) * * * * [misc]progress: [ 48 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ 2 alpha) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha))) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ beta alpha) (+ 1.0 2)))))) (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ 2 alpha) beta)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 49 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 50 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (298 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ 2 alpha) beta)) (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ (+ 2 alpha) beta)) (+ (+ 1.0 2) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ 2 alpha) beta)) (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ (+ 2 alpha) beta)) (+ (+ 1.0 2) (+ beta alpha))))) * * * * [misc]progress: [ 51 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (406 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) (* 1/3 2)) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) (* 1/3 2)) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (352 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) (* 1/3 2)) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (cbrt (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 52 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (391 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* 1/3 2)) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* 1/3 2)) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* 1/3 2)) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 53 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha))) (+ 1/3 1/3)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha))) (+ 1/3 1/3)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (+ (+ 1.0 2) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha))) (+ 1/3 1/3)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ beta 2) alpha) (+ (+ beta 2) alpha)))) (+ (+ 1.0 2) (+ beta alpha))))) * * * * [misc]progress: [ 54 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (389 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 55 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2))) (+ 1/3 1/3)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) (/ (cbrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ 2 alpha) beta)))))) * * * * [misc]progress: [ 56 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha))) (* (+ (+ 1.0 alpha) (+ beta 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta))) (/ (cbrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha))) (* (+ (+ 1.0 alpha) (+ beta 2)) (sqrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 57 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (cbrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 58 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 59 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2)))) (* (+ alpha (+ beta 2)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (/ (cbrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2)))) (* (+ alpha (+ beta 2)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 60 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (389 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha))) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha))) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 61 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2)))) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2)))) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2)))) (* (pow (+ alpha (+ beta 2)) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ beta 2)))) (* (cbrt (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 62 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta))))) (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 63 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (375 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) (/ (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 64 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (358 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (358 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ beta 2)))) (sqrt (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 65 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (315 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ (+ beta 2) alpha)) (+ (+ 1.0 alpha) (+ beta 2))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ (+ beta 2) alpha)) (+ (+ 1.0 alpha) (+ beta 2))))) * * * * [misc]progress: [ 66 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 67 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 68 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ 2 alpha) beta))) (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ 2 alpha) beta))) (/ (sqrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 69 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (406 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (350 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 70 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (391 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 71 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 72 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (422 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 2 beta) alpha) (+ 1/2 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 2 beta) alpha) (+ 1/2 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 73 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (406 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2))))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 74 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (363 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/2 1/3)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/2 1/3)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 75 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (403 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ alpha (+ 2 beta)) (+ 1 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) (+ 2 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ alpha (+ 2 beta)) (+ 1 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 76 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (388 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ 1.0 alpha) (+ beta 2))) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 77 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 78 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (366 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (pow (+ (+ beta 2) alpha) (* 1/3 2)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 79 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (404 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ alpha (+ beta 2))) (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 80 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (361 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 81 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (387 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (+ (+ beta alpha) 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (+ (+ beta alpha) 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 beta) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (* (cbrt (+ (+ beta alpha) (+ 2 1.0))) (+ (+ beta alpha) 2))) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 beta) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 82 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (371 enodes) * [exit]simplify: Simplified to (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (+ (+ beta alpha) 2)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 83 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (+ alpha (+ beta 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (+ alpha (+ beta 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (+ alpha (+ beta 2))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ (+ 2 beta) alpha) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 84 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (386 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ beta alpha) 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ beta alpha) 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)) (sqrt (+ (+ beta alpha) 2)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 85 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (sqrt (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 86 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2)))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 87 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (403 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (* (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 2 1.0)) (* 1/3 2)))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 88 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (388 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 89 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 90 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (388 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (sqrt (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2)))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 91 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ (+ 2 alpha) beta)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ (+ 2 alpha) beta)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 92 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 93 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 94 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 95 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 96 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 2 alpha) beta)))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 97 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 98 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 99 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (404 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3)))) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3)))) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/2 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ alpha (+ 2 beta))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3)))) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/2 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 100 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (388 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 101 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 102 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (386 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ 1.0 2) (+ beta alpha)) (+ 1/3 1/3)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 103 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (* (pow (+ (+ 2 alpha) beta) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (* (pow (+ (+ 2 alpha) beta) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (* (pow (+ (+ 2 alpha) beta) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 104 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/3)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 105 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (406 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (370 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 2 (+ beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (* 1/3 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 106 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (390 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 2 alpha) beta))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 107 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (358 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/2)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 108 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (373 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 beta) alpha) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 beta) alpha) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (+ (+ 2 beta) alpha) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (+ 2 (+ beta alpha)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 109 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (+ 2 (+ beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 110 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (313 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (+ (+ 2 alpha) beta)) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (+ (+ 2 alpha) beta)) (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 111 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3)) (sqrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1 1/2)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 112 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (358 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (sqrt (+ (+ 2 beta) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1 1/2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 113 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (312 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (344 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 114 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (388 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)) (pow (+ (+ 1.0 2) (+ beta alpha)) (* 1/3 2)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ 2 alpha) beta) (+ 1/3 1)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 115 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 116 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1/3 1)) (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 117 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (372 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (sqrt (+ (+ 2 alpha) beta)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 118 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (355 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ alpha (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ alpha (+ 2 beta))))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ alpha (+ 2 beta))))) (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (pow (+ 2 (+ beta alpha)) (+ 1 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 119 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (310 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ 2 beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ 2 beta)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1 1/2)) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ alpha (+ 2 beta)))) (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (pow (+ (+ 2 alpha) beta) (+ 1 1/2)) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 120 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (sqrt (+ (+ (* beta alpha) (+ beta alpha)) 1.0)) (pow (+ (+ 2 1.0) (+ beta alpha)) (* 1/3 2))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta))))))) * * * * [misc]progress: [ 121 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (337 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (* (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 122 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha)) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 123 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (/ (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ (+ beta 2) alpha))) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ (+ beta 2) alpha))) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 124 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (/ (pow (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (+ -1 -1)) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (+ -1 -1)) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ 2 alpha) beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (pow (+ (+ 2 beta) alpha) (* 1/3 2)) (+ -1 -1)) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (* (cbrt (+ (+ 2 alpha) beta)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 125 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (cbrt (+ 2 (+ beta alpha)))) (* (+ (+ 1.0 alpha) (+ beta 2)) (cbrt (+ 2 (+ beta alpha))))))) * * * * [misc]progress: [ 126 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3))) (* (sqrt (+ (+ alpha beta) 2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3))) (* (sqrt (+ (+ alpha beta) 2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (+ 1/3 1/3))) (* (sqrt (+ (+ alpha beta) 2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3)))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (cbrt (+ 2 (+ beta alpha)))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 127 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (* (+ (+ alpha beta) (+ 2 1.0)) (+ (+ alpha beta) 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (* (+ (+ alpha beta) (+ 2 1.0)) (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (* (+ (+ alpha beta) (+ 2 1.0)) (+ (+ alpha beta) 2)))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ 2 alpha) beta)))))) * * * * [misc]progress: [ 128 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ alpha beta) 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (cbrt (+ (+ beta 2) alpha))) (* (+ (+ 1.0 2) (+ beta alpha)) (sqrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 129 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (301 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (pow (+ (+ alpha beta) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (pow (+ (+ alpha beta) 2) (* 1/3 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (pow (+ (+ alpha beta) 2) (* 1/3 2))) (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 130 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (sqrt (+ (+ 2 1.0) (+ alpha beta)))) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 131 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (226 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (cbrt (+ (+ 2 alpha) beta))) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 132 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ alpha beta) 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (354 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ alpha beta) 2)))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ 2 (+ beta alpha)))) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))))) * * * * [misc]progress: [ 133 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ 2 alpha) beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (* (pow (+ (+ alpha beta) 2) (* 1/3 2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta))))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ 2 alpha) beta))) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ 2 alpha) beta)))))) * * * * [misc]progress: [ 134 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (245 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ (+ 2 alpha) beta))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ (+ 2 alpha) beta))) (* (+ (+ 1.0 2) (+ beta alpha)) (cbrt (+ (+ 2 alpha) beta)))))) * * * * [misc]progress: [ 135 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ 2 alpha) beta)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 136 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (340 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (+ (+ alpha beta) 2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 137 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (/ 1 (+ (+ alpha beta) 2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ (+ 2 alpha) beta) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 138 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (286 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 1.0) (+ alpha beta)) (+ 1/3 1/3))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 139 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) (+ 2 1.0)) (- 1/2)) (sqrt (+ (+ alpha beta) 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) (+ 2 1.0)) (- 1/2)) (sqrt (+ (+ alpha beta) 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) (+ 2 1.0)) (- 1/2)) (sqrt (+ (+ alpha beta) 2))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (* (+ (+ beta 2) alpha) (sqrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 140 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (210 enodes) * [exit]simplify: Simplified to (pow (+ (+ alpha beta) 2) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ alpha beta) 2) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ alpha (+ beta 2)))) (* (+ alpha (+ beta 2)) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ alpha beta) 2) (- 1/2)) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ alpha (+ beta 2)))) (* (+ alpha (+ beta 2)) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 141 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 142 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (/ (/ 1 (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ 1 (pow (+ (+ 2 alpha) beta) (* 1/3 2))) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 143 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (225 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ 1 (pow (+ alpha (+ 2 beta)) (+ 1/3 1/3))) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 144 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) 2) (- 1/2)) (pow (+ (+ 2 1.0) (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ beta alpha) 2) (- 1/2)) (pow (+ (+ 2 1.0) (+ beta alpha)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ beta alpha) 2) (- 1/2)) (pow (+ (+ 2 1.0) (+ beta alpha)) (+ 1/3 1/3))) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 145 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 2 beta) alpha) (- 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 2 beta) alpha) (- 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (sqrt (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 2 beta) alpha) (- 1/2)) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (sqrt (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 146 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (209 enodes) * [exit]simplify: Simplified to (pow (+ (+ 2 beta) alpha) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ 2 beta) alpha) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ 2 beta) alpha) (- 1/2)) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 147 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (264 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (+ alpha beta) (+ 1.0 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ 1 (pow (+ (+ alpha beta) (+ 1.0 2)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ 1 (pow (+ (+ alpha beta) (+ 1.0 2)) (+ 1/3 1/3))) (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 148 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (pow (+ (+ alpha beta) (+ 1.0 2)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ alpha beta) (+ 1.0 2)) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ alpha beta) (+ 1.0 2)) (- 1/2)) (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 149 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ 1 1) 1) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * * [misc]simplify: iters left: 3 (394 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))))) * * * * [misc]progress: [ 150 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (pow (+ (+ alpha beta) (+ 2 1.0)) (+ 1/3 1/3))) (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 151 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) (pow (+ (+ alpha beta) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) (pow (+ (+ alpha beta) 2) (* 1/3 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) (pow (+ (+ alpha beta) 2) (* 1/3 2))) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) (* (sqrt (+ (+ beta alpha) (+ 1.0 2))) (cbrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 152 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (327 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ alpha (+ beta 2))) (* (cbrt (+ alpha (+ beta 2))) (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 153 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (267 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (342 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (* (cbrt (+ (+ beta alpha) (+ 1.0 2))) (sqrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 154 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (250 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (sqrt (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (sqrt (+ (+ 1.0 2) (+ alpha beta)))) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (sqrt (* (+ (+ 1.0 2) (+ beta alpha)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 155 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (329 enodes) * [exit]simplify: Simplified to (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (+ (+ beta alpha) (+ 1.0 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ alpha (+ beta 2))) (* (sqrt (+ alpha (+ beta 2))) (+ (+ beta alpha) (+ 1.0 2)))))) * * * * [misc]progress: [ 156 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (248 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ 1 (pow (+ (+ 1.0 alpha) (+ 2 beta)) (* 1/3 2))) (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 157 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (232 enodes) * [exit]simplify: Simplified to (pow (+ (+ 2 1.0) (+ beta alpha)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ 2 1.0) (+ beta alpha)) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ 2 1.0) (+ beta alpha)) (- 1/2)) (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 158 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))))) * * * * [misc]progress: [ 159 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (351 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2))) (pow (+ alpha (+ beta 2)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2))) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (pow (+ alpha (+ 2 beta)) (- -1 1/3)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2))) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (/ (pow (+ alpha (+ 2 beta)) (- -1 1/3)) (cbrt (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 160 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- -1 1/3)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) (pow (+ (+ beta 2) alpha) (+ 1/3 1/3))) (/ (pow (+ (+ alpha beta) 2) (- -1 1/3)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) * * * * [misc]progress: [ 161 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (258 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 2 alpha) beta) (- -1 1/3)) (+ (+ 1.0 alpha) (+ 2 beta))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ 2 (+ beta alpha)) (* 1/3 2))) (/ (pow (+ (+ 2 alpha) beta) (- -1 1/3)) (+ (+ 1.0 alpha) (+ 2 beta))))) * * * * [misc]progress: [ 162 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (336 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) (sqrt (+ (+ beta 2) alpha))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- -1 1/2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) (sqrt (+ (+ beta 2) alpha))) (/ (pow (+ (+ alpha beta) 2) (- -1 1/2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))) * * * * [misc]progress: [ 163 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (/ (pow (+ alpha (+ 2 beta)) (- -1 1/2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) (/ (pow (+ alpha (+ 2 beta)) (- -1 1/2)) (sqrt (+ (+ alpha beta) (+ 2 1.0)))))) * * * * [misc]progress: [ 164 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ (+ beta 2) alpha))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ (+ beta 2) alpha))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ (pow (+ alpha (+ 2 beta)) (- -1 1/2)) (+ (+ 1.0 alpha) (+ 2 beta))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (sqrt (+ (+ beta 2) alpha))) (/ (pow (+ alpha (+ 2 beta)) (- -1 1/2)) (+ (+ 1.0 alpha) (+ 2 beta))))) * * * * [misc]progress: [ 165 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3))) (/ (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/3)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))))) * * * * [misc]progress: [ 166 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/2)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ (+ beta alpha) (+ 2 1.0)))) (/ (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/2)) (* (+ (+ alpha beta) 2) (+ (+ alpha beta) 2))))) * * * * [misc]progress: [ 167 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (241 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (+ alpha beta) (+ 1.0 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (/ (/ 1 (+ (+ alpha beta) (+ 1.0 2))) (* (+ (+ 2 beta) alpha) (+ (+ 2 beta) alpha))))) * * * * [misc]progress: [ 168 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (450 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (cbrt (* (+ (+ 1.0 alpha) (+ beta 2)) (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 169 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (435 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) (+ 2 1.0))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (cbrt (+ (+ beta 2) alpha)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 170 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (391 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (+ (pow (+ beta alpha) 3) (pow 2 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 alpha) beta) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (pow (+ (+ beta alpha) 2) (* 1/3 2)) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 alpha) beta) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (cbrt (+ (+ 2 alpha) beta)))))) * * * * [misc]progress: [ 171 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (435 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (356 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (* (pow (+ (+ 1.0 alpha) (+ beta 2)) (+ 1/3 1/3)) (sqrt (+ alpha (+ beta 2))))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* 2 (- (- 2 beta) alpha))) (* (sqrt (+ (+ beta 2) alpha)) (cbrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 172 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (418 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ alpha (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ alpha (+ beta 2))))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (357 enodes) * [exit]simplify: Simplified to (/ (- (* 2 2) (- (* (+ beta alpha) 2) (* (+ beta alpha) (+ beta alpha)))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta alpha) 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (sqrt (* (+ (+ beta alpha) (+ 2 1.0)) (+ alpha (+ beta 2))))) (/ (- (* 2 2) (- (* (+ beta alpha) 2) (* (+ beta alpha) (+ beta alpha)))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ beta alpha) 2)))))) * * * * [misc]progress: [ 173 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (375 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (+ alpha (+ beta 2)))) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (+ alpha (+ beta 2)))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (sqrt (+ alpha (+ beta 2)))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (sqrt (+ (+ beta 2) alpha)))))) * * * * [misc]progress: [ 174 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (416 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ (pow (+ beta alpha) 3) (pow 2 3)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ (pow (+ beta alpha) 3) (pow 2 3)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (* (+ (pow (+ beta alpha) 3) (pow 2 3)) (pow (+ (+ 1.0 alpha) (+ beta 2)) (* 1/3 2)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ 2 alpha) beta) (cbrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 175 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (400 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (+ (pow (+ beta alpha) 3) (pow 2 3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (343 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (sqrt (+ (+ beta alpha) (+ 2 1.0))) (+ (pow (+ beta alpha) 3) (pow 2 3)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (* (+ (+ beta 2) alpha) (sqrt (+ (+ beta alpha) (+ 1.0 2))))))) * * * * [misc]progress: [ 176 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (334 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (328 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 alpha) beta) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 alpha) beta) 2)) (* (+ (+ beta alpha) (+ 1.0 2)) (+ alpha (+ beta 2)))))) * * * * [misc]progress: [ 177 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (442 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (/ (+ alpha (- beta 2)) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (+ alpha (- beta 2)) (cbrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ 2 (+ beta alpha))))))) * * * * [misc]progress: [ 178 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (427 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (pow (+ beta (+ alpha 2)) (* 1/3 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (pow (+ beta (+ alpha 2)) (* 1/3 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ beta alpha) 2) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (* (pow (+ beta (+ alpha 2)) (* 1/3 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (- (+ beta alpha) 2) (cbrt (+ 2 (+ beta alpha)))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 179 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (383 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (/ (+ (- beta 2) alpha) (cbrt (+ alpha (+ 2 beta)))) (+ (+ 1.0 2) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (/ (+ (- beta 2) alpha) (cbrt (+ alpha (+ 2 beta)))) (+ (+ 1.0 2) (+ beta alpha))))) * * * * [misc]progress: [ 180 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (427 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (sqrt (+ (+ 2 beta) alpha)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (sqrt (+ (+ 2 beta) alpha)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (281 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ beta alpha) 2) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (* (sqrt (+ (+ 2 beta) alpha)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) (/ (/ (- (+ beta alpha) 2) (sqrt (+ 2 (+ beta alpha)))) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 181 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (410 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ 2 beta) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ 2 beta) alpha)))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (282 enodes) * [exit]simplify: Simplified to (/ (+ alpha (- beta 2)) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ beta (+ alpha 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (* (+ (+ beta alpha) (+ 1.0 2)) (+ (+ 2 beta) alpha)))) (/ (+ alpha (- beta 2)) (sqrt (* (+ (+ 1.0 alpha) (+ 2 beta)) (+ beta (+ alpha 2))))))) * * * * [misc]progress: [ 182 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (367 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ beta alpha) 2) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ 2 beta))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (- (+ beta alpha) 2) (sqrt (+ 2 (+ beta alpha)))) (+ (+ 1.0 alpha) (+ 2 beta))))) * * * * [misc]progress: [ 183 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (408 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (266 enodes) * [exit]simplify: Simplified to (/ (/ (+ (- beta 2) alpha) (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ (+ beta alpha) (* beta alpha)) 1.0) (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2))) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3))) (/ (/ (+ (- beta 2) alpha) (+ alpha (+ 2 beta))) (cbrt (+ (+ 2 1.0) (+ beta alpha)))))) * * * * [misc]progress: [ 184 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (392 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (268 enodes) * [exit]simplify: Simplified to (/ (/ (+ beta (- alpha 2)) (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (* (+ (+ beta alpha) 2) (- (+ beta alpha) 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (/ (+ beta (- alpha 2)) (+ beta (+ alpha 2))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 185 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (320 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (253 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ beta alpha) 2) (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 2 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (/ (- (+ beta alpha) 2) (+ 2 (+ beta alpha))) (+ (+ beta alpha) (+ 2 1.0))))) * * * * [misc]progress: [ 186 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (228 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3)) (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (* (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3)) (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3))) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (* (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3)) (pow (+ (+ 1.0 2) (+ alpha beta)) (- 1/3))) (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))))) * * * * [misc]progress: [ 187 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (212 enodes) * [exit]simplify: Simplified to (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (326 enodes) * [exit]simplify: Simplified to (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (pow (+ (+ 1.0 alpha) (+ 2 beta)) (- 1/2)) (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (* (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2))) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))))) * * * * [misc]progress: [ 188 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* 1 (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (311 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* 1 (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ alpha (+ beta 2))) (* (+ (+ 1.0 alpha) (+ beta 2)) (+ alpha (+ beta 2)))))) * * * * [misc]progress: [ 189 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ 1 (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ 1 (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (234 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) (/ (/ 1 (+ 2 (+ beta alpha))) (cbrt (+ (+ 1.0 2) (+ beta alpha))))) (/ (/ 1 (+ (+ alpha beta) 2)) (cbrt (+ (+ alpha beta) (+ 2 1.0)))))) * * * * [misc]progress: [ 190 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) (+ 2 (+ beta alpha))) (/ (/ 1 (+ alpha (+ 2 beta))) (sqrt (+ (+ 1.0 alpha) (+ 2 beta)))))) * * * * [misc]progress: [ 191 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ alpha (+ beta 2))) (/ (/ 1 (+ (+ 1.0 alpha) (+ 2 beta))) (+ alpha (+ 2 beta))))) * * * * [misc]progress: [ 192 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (420 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (317 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (cbrt (+ (+ beta alpha) (+ 2 1.0)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 2 (+ beta alpha))) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (pow (+ (+ beta alpha) (+ 1.0 2)) (* 1/3 2)))) (/ (+ (* (+ beta alpha) (+ beta alpha)) (* (- (- 2 beta) alpha) 2)) (cbrt (+ (+ beta alpha) (+ 2 1.0)))))) * * * * [misc]progress: [ 193 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (404 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (319 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ 2 alpha) beta)) (* (+ (pow 2 3) (pow (+ beta alpha) 3)) (sqrt (+ (+ 1.0 alpha) (+ beta 2))))) (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* 2 (+ beta alpha))) (sqrt (+ (+ 1.0 alpha) (+ beta 2)))))) * * * * [misc]progress: [ 194 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (360 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (+ (+ beta 2) alpha)) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (304 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* (+ beta alpha) 2)) (+ (+ beta alpha) (+ 2 1.0))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow 2 3) (pow (+ beta alpha) 3))) (+ (+ beta 2) alpha)) (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* (+ beta alpha) 2)) (+ (+ beta alpha) (+ 2 1.0))))) * * * * [misc]progress: [ 195 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (412 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (242 enodes) * [exit]simplify: Simplified to (/ (- (+ beta alpha) 2) (cbrt (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ (+ beta 2) alpha)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) (+ 1.0 2)) (+ 1/3 1/3)))) (/ (- (+ beta alpha) 2) (cbrt (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 196 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (396 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ beta (+ alpha 2))) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ beta (+ alpha 2))) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (244 enodes) * [exit]simplify: Simplified to (/ (- (+ beta alpha) 2) (sqrt (+ (+ 1.0 2) (+ beta alpha)))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ beta (+ alpha 2))) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (sqrt (+ (+ beta alpha) (+ 1.0 2))))) (/ (- (+ beta alpha) 2) (sqrt (+ (+ 1.0 2) (+ beta alpha)))))) * * * * [misc]progress: [ 197 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (352 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (229 enodes) * [exit]simplify: Simplified to (/ (- (+ beta alpha) 2) (+ (+ 1.0 2) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)))) (/ (- (+ beta alpha) 2) (+ (+ 1.0 2) (+ beta alpha))))) * * * * [misc]progress: [ 198 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 199 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 200 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (188 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 2 1.0) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)))) (cbrt (+ (+ 2 1.0) (+ beta alpha))))) * * * * [misc]progress: [ 202 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 2 1.0) (+ beta alpha))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ (+ alpha beta) (* 2 1)) 1.0))) (sqrt (+ (+ 2 1.0) (+ beta alpha))))) * * * * [misc]progress: [ 203 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ alpha beta) (* 2 1)) 1.0) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (175 enodes) * [exit]simplify: Simplified to (+ (+ 2 1.0) (+ beta alpha)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) 1) (+ (+ 2 1.0) (+ beta alpha)))) * * * * [misc]progress: [ 204 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (pow (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) (* 1/3 2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) (* 1/3 2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (cbrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 205 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (+ (+ 2 alpha) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 206 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 207 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 208 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (pow (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ 2 (+ beta alpha))) (* 1/3 2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ 2 (+ beta alpha))) (* 1/3 2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 209 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta 2) alpha) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta 2) alpha) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 210 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 211 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 212 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 213 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 214 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 215 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 216 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (+ (+ 2 alpha) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 217 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 218 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 219 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 220 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 221 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 222 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 223 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 224 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (sqrt (+ (+ 2 beta) alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (sqrt (+ (+ 2 beta) alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 225 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 226 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 227 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 228 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 229 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 230 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 231 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 232 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 233 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 234 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (/ 1 (+ (+ alpha beta) 2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (+ (+ alpha beta) 2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 235 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 236 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (+ 2 beta) alpha) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ 1 (pow (+ (+ 2 beta) alpha) (* 1/3 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 237 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (pow (+ (+ 2 beta) alpha) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (+ (+ 2 beta) alpha) (- 1/2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 238 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 239 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 240 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 241 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ 1 (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 242 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ beta 2) alpha) (* 1/3 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ beta 2) alpha) (* 1/3 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 243 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 244 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 245 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 246 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 247 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 248 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (361 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 249 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 250 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 251 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (/ 1 (+ (+ alpha beta) (* 2 1)))))) * * * * [misc]progress: [ 253 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (338 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (pow 2 3) (pow (+ beta alpha) 3))) (+ (+ 2 alpha) beta)) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1))))))) * * * * [misc]progress: [ 254 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (330 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta alpha) 2)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta alpha) 2)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ (+ (+ alpha beta) (* 2 1)) 1.0) (- (+ alpha beta) (* 2 1))))) * * * * [misc]progress: [ 255 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (- (* 1.0 1.0) (* (+ (+ alpha beta) (* 2 1)) 1.0))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (256 enodes) * [exit]simplify: Simplified to (+ (* 1.0 (- (- 1.0 2) (+ beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ (+ alpha beta) (* 2 1)) 3) (pow 1.0 3))) (+ (* 1.0 (- (- 1.0 2) (+ beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))))) * * * * [misc]progress: [ 256 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (+ alpha beta) (* 2 1)) 1.0) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (176 enodes) * [exit]simplify: Simplified to (+ (- 2 1.0) (+ beta alpha)) * [misc]simplify: Simplified (2 2) to (λ (alpha beta) (* (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (- (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (* 1.0 1.0))) (+ (- 2 1.0) (+ beta alpha)))) * * * * [misc]progress: [ 257 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (239 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ beta 2) alpha)) (* (+ (+ (+ alpha beta) (* 2 1)) 1.0) (+ (+ alpha beta) (* 2 1))))) * * * * [misc]progress: [ 258 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 259 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (log (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (297 enodes) * [exit]simplify: Simplified to (log (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (exp (log (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 260 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (log (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (log (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (exp (log (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 261 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 262 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 263 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (pow (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ alpha (+ beta 2)) (+ alpha (+ beta 2)))) 3)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 264 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (347 enodes) * [exit]simplify: Simplified to (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) 3) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (cbrt (pow (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ beta 2) alpha)) (+ (+ beta 2) alpha)) 3)) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 265 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 266 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 267 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 268 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 269 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (289 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta)) (* 1/3 2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (cbrt (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 270 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (+ beta 2) alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha))) (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 271 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (pow (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ 2 (+ beta alpha))) (* 1/3 2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ 2 (+ beta alpha))) (* 1/3 2)) (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (/ (+ (+ (* beta alpha) (+ beta alpha)) 1.0) (+ 2 (+ beta alpha))) (* 1/3 2)) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ (+ beta 2) alpha) (cbrt (+ (+ beta 2) alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 272 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta 2) alpha) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta 2) alpha) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (pow (+ (+ beta 2) alpha) (+ 1/3 1/3)) (sqrt (+ (+ beta 2) alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (cbrt (+ 2 (+ beta alpha))) (sqrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 273 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha)) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (+ (+ beta 2) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 274 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (+ (+ 2 alpha) beta) (sqrt (+ (+ 2 alpha) beta)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 alpha) beta))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (+ (+ 2 alpha) beta) (sqrt (+ (+ 2 alpha) beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 275 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (287 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (* (+ (+ beta alpha) 2) (cbrt (+ (+ beta alpha) 2)))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 276 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (341 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (* (pow (+ (+ beta 2) alpha) (* 1/3 2)) (sqrt (+ (+ beta 2) alpha)))) (/ (cbrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 277 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (324 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ alpha (+ beta 2)) (* 1/3 2))) (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 278 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (339 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (303 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (* (sqrt (+ (+ beta alpha) 2)) (pow (+ (+ beta alpha) 2) (* 1/3 2)))) (/ (cbrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 279 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (306 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (+ (+ 2 alpha) beta)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (+ (+ 2 alpha) beta)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (+ (+ 2 alpha) beta)) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 280 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ (+ 2 alpha) beta) (+ 1 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (cbrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ (+ 2 alpha) beta) (+ 1 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 281 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (322 enodes) * [exit]simplify: Simplified to (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (/ (cbrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (/ (cbrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 282 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (/ (sqrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (sqrt (+ (+ 2 alpha) beta))) (/ (cbrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (/ (sqrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 283 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (233 enodes) * [exit]simplify: Simplified to (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ 1/3 1/3)) (/ (cbrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 284 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (308 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (288 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (* (+ 2 (+ beta alpha)) (cbrt (+ 2 (+ beta alpha))))) (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 285 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (323 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/2 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3)))) (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/2 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 286 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (pow (+ 2 (+ beta alpha)) (+ 1 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (* beta alpha) (+ (+ beta alpha) 1.0))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (pow (+ 2 (+ beta alpha)) (+ 1 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 287 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (325 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (sqrt (+ (+ 2 beta) alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (sqrt (+ (+ 2 beta) alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (pow (+ (+ 2 beta) alpha) (+ 1/3 1/3)) (sqrt (+ (+ 2 beta) alpha)))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (* (sqrt (+ 2 (+ beta alpha))) (cbrt (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 288 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta))) (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (+ alpha (+ 2 beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 289 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (293 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ alpha (+ 2 beta)) (+ 1 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ (+ 2 alpha) beta))) (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (pow (+ alpha (+ 2 beta)) (+ 1 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 290 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (307 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (cbrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (cbrt (+ 2 (+ beta alpha))) (/ 1 (+ 2 (+ beta alpha)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 291 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (290 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 2 (+ beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (sqrt (+ alpha (+ 2 beta))) (/ 1 (+ alpha (+ 2 beta))))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 2 (+ beta alpha)))) (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (sqrt (+ alpha (+ 2 beta))) (/ 1 (+ alpha (+ 2 beta)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 292 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (216 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (sqrt (+ (+ beta alpha) (+ 1.0 (* beta alpha)))) (/ (sqrt (+ (+ 1.0 (* beta alpha)) (+ beta alpha))) (* (+ 2 (+ beta alpha)) (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 293 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (207 enodes) * [exit]simplify: Simplified to (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (273 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ alpha (+ beta 2)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (pow (+ (+ alpha beta) 2) (* 1/3 2)) (+ -1 -1)) (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ alpha (+ beta 2)) (+ 1/3 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 294 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ alpha beta) 2) (- 1/2)) (pow (+ (+ alpha beta) 2) (+ 1/3 1/3))) (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (pow (+ 2 (+ beta alpha)) (+ 1/2 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 295 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (206 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/3))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/3)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 296 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (224 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (291 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (pow (+ (+ 2 alpha) beta) (- 1/2)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 297 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (/ 1 (+ (+ alpha beta) 2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (+ (+ alpha beta) 2)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (275 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (+ (+ alpha beta) 2)) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 298 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (277 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (pow (+ (+ beta 2) alpha) (+ 1 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (pow (+ (+ beta 2) alpha) (+ 1 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 299 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (205 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ (+ 2 beta) alpha) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ 1 (pow (+ (+ 2 beta) alpha) (* 1/3 2))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ 1 (pow (+ (+ 2 beta) alpha) (* 1/3 2))) (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 300 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (189 enodes) * [exit]simplify: Simplified to (pow (+ (+ 2 beta) alpha) (- 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (+ (+ 2 beta) alpha) (- 1/2)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (+ (+ 2 beta) alpha) (- 1/2)) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 301 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (372 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 302 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (pow (+ (+ 2 alpha) beta) (+ 1/3 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 303 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/2))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (pow (+ (+ beta 2) alpha) (+ 1 1/2)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 304 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* 1 (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (260 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* 1 (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (+ (+ 2 alpha) beta) (+ (+ 2 alpha) beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 305 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ beta 2) alpha) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ beta 2) alpha) (* 1/3 2))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (191 enodes) * [exit]simplify: Simplified to (pow (+ (+ alpha beta) 2) (- -1 1/3)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ beta 2) alpha) (* 1/3 2))) (pow (+ (+ alpha beta) 2) (- -1 1/3))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 306 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (254 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (pow (+ (+ alpha beta) 2) (- -1 1/2)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ 2 (+ beta alpha)))) (pow (+ (+ alpha beta) 2) (- -1 1/2))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 307 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (/ 1 (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (174 enodes) * [exit]simplify: Simplified to (pow (+ (+ alpha beta) 2) (+ -1 -1)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (pow (+ (+ alpha beta) 2) (+ -1 -1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 308 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (369 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (274 enodes) * [exit]simplify: Simplified to (/ (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (pow (+ (+ 2 alpha) beta) (+ 1/3 1/3))) (/ (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) (cbrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 309 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (353 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (276 enodes) * [exit]simplify: Simplified to (/ (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (sqrt (+ (+ beta 2) alpha))) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) (sqrt (+ 2 (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 310 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (314 enodes) * [exit]simplify: Simplified to (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (261 enodes) * [exit]simplify: Simplified to (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* 2 (+ beta alpha))) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (- (+ (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (* 2 (+ beta alpha))) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 311 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (361 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (cbrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (/ (- (+ beta alpha) 2) (cbrt (+ alpha (+ 2 beta)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (* (- (* (+ beta alpha) (+ beta alpha)) (* 2 2)) (pow (+ (+ beta alpha) 2) (+ 1/3 1/3)))) (/ (- (+ beta alpha) 2) (cbrt (+ alpha (+ 2 beta))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 312 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (345 enodes) * [exit]simplify: Simplified to (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (201 enodes) * [exit]simplify: Simplified to (/ (+ beta (- alpha 2)) (sqrt (+ beta (+ alpha 2)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (sqrt (+ alpha (+ 2 beta)))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ beta (- alpha 2)) (sqrt (+ beta (+ alpha 2))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 313 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (300 enodes) * [exit]simplify: Simplified to (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * [enter]simplify: Simplifying (/ (- (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (186 enodes) * [exit]simplify: Simplified to (/ (- (+ beta alpha) 2) (+ 2 (+ beta alpha))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (+ (+ beta alpha) (+ 1.0 (* beta alpha))) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (- (+ beta alpha) 2) (+ 2 (+ beta alpha)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 314 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 315 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 316 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 317 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (cbrt (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) (cbrt (+ alpha (+ 2 beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 318 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (+ alpha beta) (* 2 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (147 enodes) * [exit]simplify: Simplified to (sqrt (+ alpha (+ 2 beta))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (sqrt (+ (+ alpha beta) (* 2 1)))) (sqrt (+ alpha (+ 2 beta)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 319 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ alpha beta) (* 2 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * [exit]simplify: Simplified to (+ alpha (+ 2 beta)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) 1) (+ alpha (+ 2 beta))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 320 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (269 enodes) * [exit]simplify: Simplified to (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 2 (+ beta alpha))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (pow (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ 2 (+ beta alpha))) (+ 1/3 1/3)) (/ (+ (+ alpha beta) (* 2 1)) (cbrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 321 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (255 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (+ beta 2) alpha))) (/ (+ (+ alpha beta) (* 2 1)) (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 322 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (302 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (pow (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (+ 1/3 1/3)) (pow (+ (+ beta alpha) 2) (* 1/3 2))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 323 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (pow (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ 1/3 1/3)) (sqrt (+ (+ beta alpha) 2))) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 324 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (pow (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (+ 1/3 1/3)) (/ (+ (+ alpha beta) (* 2 1)) (/ (cbrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 325 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (sqrt (+ (+ 1.0 (+ beta alpha)) (* beta alpha))) (pow (+ 2 (+ beta alpha)) (+ 1/3 1/3))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 326 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (270 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (/ (+ (* beta alpha) (+ (+ beta alpha) 1.0)) (+ (+ 2 beta) alpha))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 327 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (sqrt (+ (+ 1.0 alpha) (+ (* beta alpha) beta))) (/ (+ (+ alpha beta) (* 2 1)) (/ (sqrt (+ (+ (+ alpha beta) (* beta alpha)) 1.0)) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 328 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ (+ alpha beta) (* 2 1))) (cbrt (+ (+ alpha beta) (* 2 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (185 enodes) * [exit]simplify: Simplified to (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (* (pow (+ (+ alpha beta) 2) (- 1/3)) (pow (+ (+ alpha beta) 2) (- 1/3))) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (cbrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 329 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (pow (+ alpha (+ 2 beta)) (- 1/2)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (pow (+ alpha (+ 2 beta)) (- 1/2)) (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (sqrt (+ (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 330 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ 1 (/ (+ (+ alpha beta) (* 2 1)) (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 331 / 346 ] simplifiying candidate # * * * * [misc]progress: [ 332 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (/ (+ (+ alpha beta) (* 2 1)) (/ 1 (+ (+ alpha beta) (* 2 1))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 333 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (292 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 (+ beta alpha)) (* beta alpha)) (+ (pow (+ beta alpha) 3) (pow 2 3))) (/ (+ (+ alpha beta) (* 2 1)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 334 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (278 enodes) * [exit]simplify: Simplified to (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (/ (+ (+ 1.0 alpha) (+ (* beta alpha) beta)) (- (* (+ beta alpha) (+ beta alpha)) (* 2 2))) (/ (+ (+ alpha beta) (* 2 1)) (- (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 335 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2 1) (* 2 1)) (* (+ alpha beta) (* 2 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (213 enodes) * [exit]simplify: Simplified to (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha)))) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (pow (+ alpha beta) 3) (pow (* 2 1) 3))) (- (* 2 2) (- (* 2 (+ beta alpha)) (* (+ beta alpha) (+ beta alpha))))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 336 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ alpha beta) (* 2 1)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * [exit]simplify: Simplified to (+ alpha (- beta 2)) * [misc]simplify: Simplified (2 1 2) to (λ (alpha beta) (/ (* (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2 1) (* 2 1)))) (+ alpha (- beta 2))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 337 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (+ alpha beta) (* beta alpha)) 1.0) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * [exit]simplify: Simplified to (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (+ 1.0 (* beta alpha)) (+ beta alpha)) (* (+ (+ alpha beta) (* 2 1)) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 338 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 0.5 (+ (* 0.25 beta) (* 0.25 alpha))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (150 enodes) * [exit]simplify: Simplified to (+ (* (+ alpha beta) 0.25) 0.5) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (+ (* (+ alpha beta) 0.25) 0.5) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 339 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 2.0 (/ 1 (pow alpha 2)))) (* 1.0 (/ 1 alpha))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2.0 alpha) alpha) 1) (/ 1.0 alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (- (+ (/ (/ 2.0 alpha) alpha) 1) (/ 1.0 alpha)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 340 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 (* 2.0 (/ 1 (pow alpha 2)))) (* 1.0 (/ 1 alpha))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (230 enodes) * [exit]simplify: Simplified to (- (+ (/ (/ 2.0 alpha) alpha) 1) (/ 1.0 alpha)) * [misc]simplify: Simplified (2 1 1) to (λ (alpha beta) (/ (/ (- (+ (/ (/ 2.0 alpha) alpha) 1) (/ 1.0 alpha)) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 341 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- 0.08333333333333333 (+ (* 0.027777777777777776 beta) (* 0.25 (/ alpha (pow 3.0 2))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (235 enodes) * [exit]simplify: Simplified to (- (- 0.08333333333333333 (* beta 0.027777777777777776)) (/ (* alpha 0.25) (* 3.0 3.0))) * [misc]simplify: Simplified (2) to (λ (alpha beta) (- (- 0.08333333333333333 (* beta 0.027777777777777776)) (/ (* alpha 0.25) (* 3.0 3.0)))) * * * * [misc]progress: [ 342 / 346 ] 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) 0) * * * * [misc]progress: [ 343 / 346 ] 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) 0) * * * * [misc]progress: [ 344 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 0.125 (* beta alpha)) 0.25) (* 0.0625 (pow alpha 2))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (+ (* (* beta 0.125) alpha) (- 0.25 (* (* alpha alpha) 0.0625))) * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ (+ (* (* beta 0.125) alpha) (- 0.25 (* (* alpha alpha) 0.0625))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 345 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * * [misc]progress: [ 346 / 346 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (alpha beta) (/ 0 (+ (+ (+ alpha beta) (* 2 1)) 1.0))) * * * [misc]progress: adding candidates to table